106166515111056 has 60 divisors (see below), whose sum is σ = 297603485294908. Its totient is φ = 35331107772672.

The previous prime is 106166515110979. The next prime is 106166515111091. The reversal of 106166515111056 is 650111515661601.

106166515111056 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 66 + 515 + 11 + 10 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7028967488400 + 99137547622656 = 2651220^2 + 9956784^2 .

It is a super-2 number, since 2×106166515111056² (a number of 29 digits) contains 22 as substring.

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, 601271815 + ... + 601448358.

Almost surely, 2^{106166515111056} is an apocalyptic number.

106166515111056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106166515111056 is an abundant number, since it is smaller than the sum of its proper divisors (191436970183852).

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

106166515111056 is a wasteful number, since it uses less digits than its factorization.

106166515111056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202720800 (or 1202720791 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 106166515111056 in words is "one hundred six trillion, one hundred sixty-six billion, five hundred fifteen million, one hundred eleven thousand, fifty-six".