106112666110500 has 288 divisors, whose sum is σ = 390379120185600. Its totient is φ = 24254323329600.

The previous prime is 106112666110447. The next prime is 106112666110513. The reversal of 106112666110500 is 5011666211601.

It is a super-2 number, since 2×106112666110500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32830542 + ... + 35917541.

It is an arithmetic number, because the mean of its divisors is an integer number (1355483056200).

Almost surely, 2^{106112666110500} is an apocalyptic number.

106112666110500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106112666110500 is an abundant number, since it is smaller than the sum of its proper divisors (284266454075100).

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

106112666110500 is a wasteful number, since it uses less digits than its factorization.

106112666110500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68748129 (or 68748100 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 106112666110500 in words is "one hundred six trillion, one hundred twelve billion, six hundred sixty-six million, one hundred ten thousand, five hundred".