100255823424 has 189 divisors, whose sum is σ = 292802038347. Its totient is φ = 32798009088.

The previous prime is 100255823407. The next prime is 100255823461. The reversal of 100255823424 is 424328552001.

The square root of 100255823424 is 316632.

It is a perfect power (a square), and thus also a powerful number.

100255823424 is a `hidden beast` number, since 1 + 0 + 0 + 25 + 582 + 34 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 600334189 + ... + 600334355.

Almost surely, 2^100255823424 is an apocalyptic number.

100255823424 is the 316632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100255823424

100255823424 is an abundant number, since it is smaller than the sum of its proper divisors (192546214923).

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

100255823424 is an frugal number, since it uses more digits than its factorization.

100255823424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Multiplying 100255823424 by its sum of digits (36), we get a square (3609209643264 = 1899792²).

100255823424 divided by its sum of digits (36) gives a square (2784883984 = 52772²).

The spelling of 100255823424 in words is "one hundred billion, two hundred fifty-five million, eight hundred twenty-three thousand, four hundred twenty-four".