106561015600656 has 20 divisors (see below), whose sum is σ = 275282623635152. Its totient is φ = 35520338533536.

The previous prime is 106561015600651. The next prime is 106561015600687. The reversal of 106561015600656 is 656006510165601.

It is a super-2 number, since 2×106561015600656² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 2220021158347 = 106561015600656 / (1 + 0 + 6 + 5 + 6 + 1 + 0 + 1 + 5 + 6 + 0 + 0 + 6 + 5 + 6).

It is not an unprimeable number, because it can be changed into a prime (106561015600651) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1110010579126 + ... + 1110010579221.

Almost surely, 2^{106561015600656} is an apocalyptic number.

106561015600656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106561015600656 is an abundant number, since it is smaller than the sum of its proper divisors (168721608034496).

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

106561015600656 is a wasteful number, since it uses less digits than its factorization.

106561015600656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220021158358 (or 2220021158352 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 106561015600656 in words is "one hundred six trillion, five hundred sixty-one billion, fifteen million, six hundred thousand, six hundred fifty-six".