106072165561104 has 60 divisors (see below), whose sum is σ = 297495896254336. Its totient is φ = 35281022648256.

The previous prime is 106072165561091. The next prime is 106072165561213. The reversal of 106072165561104 is 401165561270601.

106072165561104 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 7 + 21 + 6 + 5 + 5 + 611 + 0 + 4 = 666.

It is a super-2 number, since 2×106072165561104² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106072165561104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795410932 + ... + 795544275.

Almost surely, 2^{106072165561104} is an apocalyptic number.

It is an amenable number.

106072165561104 is an abundant number, since it is smaller than the sum of its proper divisors (191423730693232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106072165561104 is a wasteful number, since it uses less digits than its factorization.

106072165561104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590955684 (or 1590955675 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 106072165561104 in words is "one hundred six trillion, seventy-two billion, one hundred sixty-five million, five hundred sixty-one thousand, one hundred four".