106672771656 has 96 divisors (see below), whose sum is σ = 318290281920. Its totient is φ = 32005008000.

The previous prime is 106672771651. The next prime is 106672771693. The reversal of 106672771656 is 656177276601.

It is a super-2 number, since 2×106672771656² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106672771651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586780 + ... + 746763.

It is an arithmetic number, because the mean of its divisors is an integer number (3315523770).

Almost surely, 2^106672771656 is an apocalyptic number.

It is an amenable number.

106672771656 is an abundant number, since it is smaller than the sum of its proper divisors (211617510264).

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

106672771656 is a wasteful number, since it uses less digits than its factorization.

106672771656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333667 (or 1333660 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 106672771656 in words is "one hundred six billion, six hundred seventy-two million, seven hundred seventy-one thousand, six hundred fifty-six".