100956400 has 30 divisors (see below), whose sum is σ = 242548712. Its totient is φ = 40382400.

The previous prime is 100956397. The next prime is 100956409. The reversal of 100956400 is 4659001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100956409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125796 + ... + 126595.

Almost surely, 2^100956400 is an apocalyptic number.

100956400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100956400 is an abundant number, since it is smaller than the sum of its proper divisors (141592312).

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

100956400 is a wasteful number, since it uses less digits than its factorization.

100956400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252409 (or 252398 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 100956400 is about 10047.7062058960. The cubic root of 100956400 is about 465.6339293815.

The spelling of 100956400 in words is "one hundred million, nine hundred fifty-six thousand, four hundred".