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106043250 = 2353314561
BaseRepresentation
bin1100101001000…
…01011101110010
321101112112222210
412110201131302
5204121341000
614304512550
72425231665
oct624413562
9241475883
10106043250
1154949955
122b61b756
1318c7b3b1
14101256dc
15949a350
hex6521772

106043250 has 64 divisors (see below), whose sum is σ = 273282048. Its totient is φ = 27360000.

The previous prime is 106043191. The next prime is 106043251. The reversal of 106043250 is 52340601.

It is a happy number.

It is a super-2 number, since 2×1060432502 = 22490341741125000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106043251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20970 + ... + 25530.

It is an arithmetic number, because the mean of its divisors is an integer number (4270032).

Almost surely, 2106043250 is an apocalyptic number.

106043250 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 106043250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136641024).

106043250 is an abundant number, since it is smaller than the sum of its proper divisors (167238798).

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

106043250 is a wasteful number, since it uses less digits than its factorization.

106043250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 106043250 is about 10297.7303324568. The cubic root of 106043250 is about 473.3267070200.

Adding to 106043250 its reverse (52340601), we get a palindrome (158383851).

The spelling of 106043250 in words is "one hundred six million, forty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 150 155 186 250 310 375 465 750 775 930 1550 2325 3875 4561 4650 7750 9122 11625 13683 22805 23250 27366 45610 68415 114025 136830 141391 228050 282782 342075 424173 570125 684150 706955 848346 1140250 1413910 1710375 2120865 3420750 3534775 4241730 7069550 10604325 17673875 21208650 35347750 53021625 106043250