100871145567 has 6 divisors (see below), whose sum is σ = 145702765832. Its totient is φ = 67247430372.

The previous prime is 100871145539. The next prime is 100871145569. The reversal of 100871145567 is 765541178001.

100871145567 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 71 + 14 + 5 + 567 = 666.

It is not a de Polignac number, because 100871145567 - 2⁶ = 100871145503 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 (100871145569) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5603952523 + ... + 5603952540.

Almost surely, 2^100871145567 is an apocalyptic number.

100871145567 is a deficient number, since it is larger than the sum of its proper divisors (44831620265).

100871145567 is a wasteful number, since it uses less digits than its factorization.

100871145567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11207905069 (or 11207905066 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 100871145567 in words is "one hundred billion, eight hundred seventy-one million, one hundred forty-five thousand, five hundred sixty-seven".