100052352 has 48 divisors (see below), whose sum is σ = 287914380. Its totient is φ = 33350400.

The previous prime is 100052321. The next prime is 100052353. The reversal of 100052352 is 253250001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100052353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42274 + ... + 44577.

Almost surely, 2^100052352 is an apocalyptic number.

100052352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100052352 is an abundant number, since it is smaller than the sum of its proper divisors (187862028).

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

100052352 is an equidigital number, since it uses as much as digits as its factorization.

100052352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86871 (or 86856 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 100052352 is about 10002.6172574982. The cubic root of 100052352 is about 464.2398680501.

The spelling of 100052352 in words is "one hundred million, fifty-two thousand, three hundred fifty-two".