103424932800 has 252 divisors, whose sum is σ = 420110844816. Its totient is φ = 23639961600.

The previous prime is 103424932781. The next prime is 103424932841. The reversal of 103424932800 is 8239424301.

103424932800 is a `hidden beast` number, since 103 + 42 + 493 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 412221 + ... + 613820.

Almost surely, 2^103424932800 is an apocalyptic number.

103424932800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103424932800 is an abundant number, since it is smaller than the sum of its proper divisors (316685912016).

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

103424932800 is a wasteful number, since it uses less digits than its factorization.

103424932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026076 (or 1026058 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 103424932800 in words is "one hundred three billion, four hundred twenty-four million, nine hundred thirty-two thousand, eight hundred".