103057412400 has 120 divisors (see below), whose sum is σ = 366808087760. Its totient is φ = 27481973760.

The previous prime is 103057412399. The next prime is 103057412407. The reversal of 103057412400 is 4214750301.

103057412400 is a `hidden beast` number, since 10 + 30 + 574 + 12 + 40 + 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 (27).

It is not an unprimeable number, because it can be changed into a prime (103057412407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4760377 + ... + 4781976.

Almost surely, 2^103057412400 is an apocalyptic number.

103057412400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103057412400 is an abundant number, since it is smaller than the sum of its proper divisors (263750675360).

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

103057412400 is a wasteful number, since it uses less digits than its factorization.

103057412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9542380 (or 9542363 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 103057412400 in words is "one hundred three billion, fifty-seven million, four hundred twelve thousand, four hundred".