100913256 has 128 divisors (see below), whose sum is σ = 300288000. Its totient is φ = 31306176.

The previous prime is 100913251. The next prime is 100913291. The reversal of 100913256 is 652319001.

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

It is not an unprimeable number, because it can be changed into a prime (100913251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274785 + ... + 275151.

It is an arithmetic number, because the mean of its divisors is an integer number (2346000).

Almost surely, 2^100913256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100913256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150144000).

100913256 is an abundant number, since it is smaller than the sum of its proper divisors (199374744).

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

100913256 is a wasteful number, since it uses less digits than its factorization.

100913256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 100913256 is about 10045.5590187903. The cubic root of 100913256 is about 465.5675899430.

The spelling of 100913256 in words is "one hundred million, nine hundred thirteen thousand, two hundred fifty-six".