100461553407 has 24 divisors (see below), whose sum is σ = 146995784000. Its totient is φ = 66105082368.

The previous prime is 100461553333. The next prime is 100461553469. The reversal of 100461553407 is 704355164001.

100461553407 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 61 + 553 + 40 + 7 = 666.

It is not a de Polignac number, because 100461553407 - 2¹⁵ = 100461520639 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100461553207) 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, 2334219 + ... + 2376867.

Almost surely, 2^100461553407 is an apocalyptic number.

100461553407 is a deficient number, since it is larger than the sum of its proper divisors (46534230593).

100461553407 is a wasteful number, since it uses less digits than its factorization.

100461553407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46047 (or 46044 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 100461553407 in words is "one hundred billion, four hundred sixty-one million, five hundred fifty-three thousand, four hundred seven".