106651712151656 has 64 divisors (see below), whose sum is σ = 244378746593280. Its totient is φ = 42593245516800.

The previous prime is 106651712151653. The next prime is 106651712151679. The reversal of 106651712151656 is 656151217156601.

It is a super-2 number, since 2×106651712151656² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106651712151598 and 106651712151607.

It is not an unprimeable number, because it can be changed into a prime (106651712151653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554503400 + ... + 554695703.

It is an arithmetic number, because the mean of its divisors is an integer number (3818417915520).

Almost surely, 2^{106651712151656} is an apocalyptic number.

It is an amenable number.

106651712151656 is an abundant number, since it is smaller than the sum of its proper divisors (137727034441624).

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

106651712151656 is a wasteful number, since it uses less digits than its factorization.

106651712151656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109199234 (or 1109199230 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 53.

The spelling of 106651712151656 in words is "one hundred six trillion, six hundred fifty-one billion, seven hundred twelve million, one hundred fifty-one thousand, six hundred fifty-six".