103900742400 has 432 divisors, whose sum is σ = 422030599424. Its totient is φ = 21921546240.

The previous prime is 103900742377. The next prime is 103900742411. The reversal of 103900742400 is 4247009301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1717467 + ... + 1776933.

Almost surely, 2^103900742400 is an apocalyptic number.

103900742400 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 103900742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211015299712).

103900742400 is an abundant number, since it is smaller than the sum of its proper divisors (318129857024).

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

103900742400 is a wasteful number, since it uses less digits than its factorization.

103900742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59516 (or 59497 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 103900742400 in words is "one hundred three billion, nine hundred million, seven hundred forty-two thousand, four hundred".