106456636656 has 60 divisors (see below), whose sum is σ = 298020724560. Its totient is φ = 35474826240.

The previous prime is 106456636633. The next prime is 106456636669. The reversal of 106456636656 is 656636654601.

106456636656 is a `hidden beast` number, since 10 + 6 + 4 + 566 + 3 + 6 + 65 + 6 = 666.

It is a super-2 number, since 2×106456636656² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374005 + ... + 593963.

It is an arithmetic number, because the mean of its divisors is an integer number (4967012076).

Almost surely, 2^106456636656 is an apocalyptic number.

106456636656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106456636656 is an abundant number, since it is smaller than the sum of its proper divisors (191564087904).

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

106456636656 is a wasteful number, since it uses less digits than its factorization.

106456636656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223334 (or 223325 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 106456636656 in words is "one hundred six billion, four hundred fifty-six million, six hundred thirty-six thousand, six hundred fifty-six".