100832256 has 176 divisors, whose sum is σ = 341930880. Its totient is φ = 28753920.

The previous prime is 100832233. The next prime is 100832269. The reversal of 100832256 is 652238001.

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

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, 193276 + ... + 193796.

Almost surely, 2^100832256 is an apocalyptic number.

100832256 is a gapful number since it is divisible by the number (16) 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 100832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170965440).

100832256 is an abundant number, since it is smaller than the sum of its proper divisors (241098624).

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

100832256 is an equidigital number, since it uses as much as digits as its factorization.

100832256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100832256 is about 10041.5265771694. The cubic root of 100832256 is about 465.4429909537.

The spelling of 100832256 in words is "one hundred million, eight hundred thirty-two thousand, two hundred fifty-six".