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10550100 = 223521123139
BaseRepresentation
bin101000001111…
…101101010100
3201212000000110
4220033231110
510200100400
61014043020
7155450211
oct50175524
921760013
1010550100
115a564a0
123649470
132255082
141588b08
15dd5e50
hexa0fb54

10550100 has 144 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 2428800.

The previous prime is 10550087. The next prime is 10550101. The reversal of 10550100 is 105501.

10550100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105501002 = 222609220020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10550101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75831 + ... + 75969.

It is an arithmetic number, because the mean of its divisors is an integer number (243040).

Almost surely, 210550100 is an apocalyptic number.

10550100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10550100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

10550100 is an abundant number, since it is smaller than the sum of its proper divisors (24447660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10550100 is a wasteful number, since it uses less digits than its factorization.

10550100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 10550100 is about 3248.0917474727. The cubic root of 10550100 is about 219.3236805792.

Adding to 10550100 its reverse (105501), we get a palindrome (10655601).

Multiplying 10550100 by its reverse (105501), we get a square (1113046100100 = 10550102).

10550100 divided by its reverse (105501) gives a square (100 = 102).

It can be divided in two parts, 105 and 50100, that added together give a palindrome (50205).

The spelling of 10550100 in words is "ten million, five hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 139 150 165 220 230 253 275 276 278 300 330 345 417 460 506 550 556 575 660 690 695 759 825 834 1012 1100 1150 1265 1380 1390 1518 1529 1650 1668 1725 2085 2300 2530 2780 3036 3058 3197 3300 3450 3475 3795 4170 4587 5060 6116 6325 6394 6900 6950 7590 7645 8340 9174 9591 10425 12650 12788 13900 15180 15290 15985 18348 18975 19182 20850 22935 25300 30580 31970 35167 37950 38225 38364 41700 45870 47955 63940 70334 75900 76450 79925 91740 95910 105501 114675 140668 152900 159850 175835 191820 211002 229350 239775 319700 351670 422004 458700 479550 527505 703340 879175 959100 1055010 1758350 2110020 2637525 3516700 5275050 10550100