100556352 has 126 divisors (see below), whose sum is σ = 312405522. Its totient is φ = 30910464.

The previous prime is 100556333. The next prime is 100556363. The reversal of 100556352 is 253655001.

100556352 is a `hidden beast` number, since 100 + 556 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8856576 + 91699776 = 2976^2 + 9576^2 .

It is a super-2 number, since 2×100556352² = 20223159855095808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96828 + ... + 97860.

Almost surely, 2^100556352 is an apocalyptic number.

100556352 is a gapful number since it is divisible by the number (12) 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 100556352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156202761).

100556352 is an abundant number, since it is smaller than the sum of its proper divisors (211849170).

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

100556352 is a wasteful number, since it uses less digits than its factorization.

100556352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 100556352 is about 10027.7790163126. The cubic root of 100556352 is about 465.0180776878.

The spelling of 100556352 in words is "one hundred million, five hundred fifty-six thousand, three hundred fifty-two".