100256400 has 120 divisors (see below), whose sum is σ = 356876960. Its totient is φ = 26732160.

The previous prime is 100256381. The next prime is 100256411. The reversal of 100256400 is 4652001.

It is a happy number.

100256400 is a `hidden beast` number, since 1 + 0 + 0 + 25 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6159 + ... + 15441.

Almost surely, 2^100256400 is an apocalyptic number.

100256400 is a gapful number since it is divisible by the number (10) 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 100256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178438480).

100256400 is an abundant number, since it is smaller than the sum of its proper divisors (256620560).

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

100256400 is a wasteful number, since it uses less digits than its factorization.

100256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100256400 is about 10012.8117928981. The cubic root of 100256400 is about 464.5552459218. Note that the first 3 decimals are identical.

The spelling of 100256400 in words is "one hundred million, two hundred fifty-six thousand, four hundred".