101970106656 has 96 divisors (see below), whose sum is σ = 309182142528. Its totient is φ = 29082378240.

The previous prime is 101970106633. The next prime is 101970106663. The reversal of 101970106656 is 656601079101.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2822125 + ... + 2858028.

It is an arithmetic number, because the mean of its divisors is an integer number (3220647318).

Almost surely, 2^101970106656 is an apocalyptic number.

101970106656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101970106656 is an abundant number, since it is smaller than the sum of its proper divisors (207212035872).

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

101970106656 is a wasteful number, since it uses less digits than its factorization.

101970106656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680194 (or 5680186 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 101970106656 in words is "one hundred one billion, nine hundred seventy million, one hundred six thousand, six hundred fifty-six".