106100365772 has 24 divisors (see below), whose sum is σ = 186419402400. Its totient is φ = 52837762176.

The previous prime is 106100365769. The next prime is 106100365807. The reversal of 106100365772 is 277563001601.

It is a super-2 number, since 2×106100365772² (a number of 23 digits) contains 22 as substring.

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, 8756054 + ... + 8768162.

It is an arithmetic number, because the mean of its divisors is an integer number (7767475100).

Almost surely, 2^106100365772 is an apocalyptic number.

It is an amenable number.

106100365772 is a deficient number, since it is larger than the sum of its proper divisors (80319036628).

106100365772 is a wasteful number, since it uses less digits than its factorization.

106100365772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20705 (or 20703 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The spelling of 106100365772 in words is "one hundred six billion, one hundred million, three hundred sixty-five thousand, seven hundred seventy-two".