106110616510512 has 30 divisors (see below), whose sum is σ = 296962350373572. Its totient is φ = 35370205503456.

The previous prime is 106110616510403. The next prime is 106110616510601. The reversal of 106110616510512 is 215015616011601.

106110616510512 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 10 + 61 + 65 + 10 + 512 = 666.

It is a super-2 number, since 2×106110616510512² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 368439640518 + ... + 368439640805.

Almost surely, 2^{106110616510512} is an apocalyptic number.

106110616510512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106110616510512 is an abundant number, since it is smaller than the sum of its proper divisors (190851733863060).

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

106110616510512 is a wasteful number, since it uses less digits than its factorization.

106110616510512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736879281337 (or 736879281328 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 106110616510512 in words is "one hundred six trillion, one hundred ten billion, six hundred sixteen million, five hundred ten thousand, five hundred twelve".