100088352 has 384 divisors, whose sum is σ = 383846400. Its totient is φ = 24634368.

The previous prime is 100088291. The next prime is 100088363. The reversal of 100088352 is 253880001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1493823 + ... + 1493889.

It is an arithmetic number, because the mean of its divisors is an integer number (999600).

Almost surely, 2^100088352 is an apocalyptic number.

100088352 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 100088352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191923200).

100088352 is an abundant number, since it is smaller than the sum of its proper divisors (283758048).

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

100088352 is a wasteful number, since it uses less digits than its factorization.

100088352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 100088352 is about 10004.4166246713. The cubic root of 100088352 is about 464.2955410081.

The spelling of 100088352 in words is "one hundred million, eighty-eight thousand, three hundred fifty-two".