106716738812040 has 192 divisors, whose sum is σ = 397849979404800. Its totient is φ = 24301719230976.

The previous prime is 106716738812039. The next prime is 106716738812051. The reversal of 106716738812040 is 40218837617601.

106716738812040 is a `hidden beast` number, since 1 + 0 + 67 + 167 + 388 + 1 + 2 + 0 + 40 = 666.

It is a super-2 number, since 2×106716738812040² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78035712 + ... + 79391471.

It is an arithmetic number, because the mean of its divisors is an integer number (2072135309400).

Almost surely, 2^{106716738812040} is an apocalyptic number.

106716738812040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106716738812040 is an abundant number, since it is smaller than the sum of its proper divisors (291133240592760).

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

106716738812040 is a wasteful number, since it uses less digits than its factorization.

106716738812040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157427476 (or 157427469 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 106716738812040 in words is "one hundred six trillion, seven hundred sixteen billion, seven hundred thirty-eight million, eight hundred twelve thousand, forty".