106657265776 has 40 divisors (see below), whose sum is σ = 217555517520. Its totient is φ = 50514702336.

The previous prime is 106657265749. The next prime is 106657265797. The reversal of 106657265776 is 677562756601.

It is a super-2 number, since 2×106657265776² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106657265776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2567346 + ... + 2608558.

It is an arithmetic number, because the mean of its divisors is an integer number (5438887938).

Almost surely, 2^106657265776 is an apocalyptic number.

106657265776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106657265776 is an abundant number, since it is smaller than the sum of its proper divisors (110898251744).

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

106657265776 is a wasteful number, since it uses less digits than its factorization.

106657265776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49753 (or 49747 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 58.

The spelling of 106657265776 in words is "one hundred six billion, six hundred fifty-seven million, two hundred sixty-five thousand, seven hundred seventy-six".