100456761400 has 48 divisors (see below), whose sum is σ = 235874512440. Its totient is φ = 39784848000.

The previous prime is 100456761343. The next prime is 100456761443. The reversal of 100456761400 is 4167654001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2466354 + ... + 2506753.

Almost surely, 2^100456761400 is an apocalyptic number.

100456761400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100456761400 is an abundant number, since it is smaller than the sum of its proper divisors (135417751040).

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

100456761400 is a wasteful number, since it uses less digits than its factorization.

100456761400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973224 (or 4973215 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 100456761400 in words is "one hundred billion, four hundred fifty-six million, seven hundred sixty-one thousand, four hundred".