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106550344050 = 23525314998941
BaseRepresentation
bin110001100111011100…
…1010011100101110010
3101012000200021022000220
41203032321103211302
53221203342002200
6120540515353510
710461262660323
oct1431671234562
9335020238026
10106550344050
1141207989587
12187975b2896
13a080909477
14522adac44a
152b893324a0
hex18cee53972

106550344050 has 96 divisors (see below), whose sum is σ = 269440344000. Its totient is φ = 27855609600.

The previous prime is 106550344037. The next prime is 106550344123. The reversal of 106550344050 is 50443055601.

It is a super-2 number, since 2×1065503440502 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11912580 + ... + 11921520.

It is an arithmetic number, because the mean of its divisors is an integer number (2806670250).

Almost surely, 2106550344050 is an apocalyptic number.

106550344050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106550344050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134720172000).

106550344050 is an abundant number, since it is smaller than the sum of its proper divisors (162889999950).

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

106550344050 is a wasteful number, since it uses less digits than its factorization.

106550344050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10508 (or 10503 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 106550344050 its reverse (50443055601), we get a palindrome (156993399651).

The spelling of 106550344050 in words is "one hundred six billion, five hundred fifty million, three hundred forty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 530 795 1325 1499 1590 2650 2998 3975 4497 7495 7950 8941 8994 14990 17882 22485 26823 37475 44705 44970 53646 74950 79447 89410 112425 134115 158894 223525 224850 238341 268230 397235 447050 473873 476682 670575 794470 947746 1191705 1341150 1421619 1986175 2369365 2383410 2843238 3972350 4738730 5958525 7108095 11846825 11917050 13402559 14216190 23693650 26805118 35540475 40207677 67012795 71080950 80415354 134025590 201038385 335063975 402076770 670127950 710335627 1005191925 1420671254 2010383850 2131006881 3551678135 4262013762 7103356270 10655034405 17758390675 21310068810 35516781350 53275172025 106550344050