106716011872 has 48 divisors (see below), whose sum is σ = 211323464352. Its totient is φ = 53046927360.

The previous prime is 106716011867. The next prime is 106716011893. The reversal of 106716011872 is 278110617601.

It is a super-2 number, since 2×106716011872² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11303538 + ... + 11312974.

It is an arithmetic number, because the mean of its divisors is an integer number (4402572174).

Almost surely, 2^106716011872 is an apocalyptic number.

It is an amenable number.

106716011872 is a deficient number, since it is larger than the sum of its proper divisors (104607452480).

106716011872 is a wasteful number, since it uses less digits than its factorization.

106716011872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11471 (or 11463 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 40.

The spelling of 106716011872 in words is "one hundred six billion, seven hundred sixteen million, eleven thousand, eight hundred seventy-two".