100607871 has 32 divisors (see below), whose sum is σ = 168634368. Its totient is φ = 51932160.

The previous prime is 100607867. The next prime is 100607893. The reversal of 100607871 is 178706001.

It is not a de Polignac number, because 100607871 - 2² = 100607867 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100607821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8911 + ... + 16751.

It is an arithmetic number, because the mean of its divisors is an integer number (5269824).

Almost surely, 2^100607871 is an apocalyptic number.

100607871 is a deficient number, since it is larger than the sum of its proper divisors (68026497).

100607871 is a wasteful number, since it uses less digits than its factorization.

100607871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911.

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 100607871 is about 10030.3475014578. The cubic root of 100607871 is about 465.0974798525.

The spelling of 100607871 in words is "one hundred million, six hundred seven thousand, eight hundred seventy-one".