100355352 has 64 divisors (see below), whose sum is σ = 267079680. Its totient is φ = 31314432.

The previous prime is 100355329. The next prime is 100355389. The reversal of 100355352 is 253553001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90433 + ... + 91535.

It is an arithmetic number, because the mean of its divisors is an integer number (4173120).

Almost surely, 2^100355352 is an apocalyptic number.

100355352 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 100355352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

100355352 is an abundant number, since it is smaller than the sum of its proper divisors (166724328).

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

100355352 is a wasteful number, since it uses less digits than its factorization.

100355352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 100355352 is about 10017.7518436024. The cubic root of 100355352 is about 464.7080326947.

The spelling of 100355352 in words is "one hundred million, three hundred fifty-five thousand, three hundred fifty-two".