106616772930816 has 90 divisors (see below), whose sum is σ = 317911925557842. Its totient is φ = 35538924303360.

The previous prime is 106616772930763. The next prime is 106616772930817. The reversal of 106616772930816 is 618039277616601.

106616772930816 is a `hidden beast` number, since 1 + 0 + 6 + 616 + 7 + 7 + 2 + 9 + 3 + 0 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102943264041216 + 3673508889600 = 10146096^2 + 1916640^2 .

It is a super-2 number, since 2×106616772930816² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106616772930817) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2570792655 + ... + 2570834126.

Almost surely, 2^{106616772930816} is an apocalyptic number.

106616772930816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106616772930816 is an abundant number, since it is smaller than the sum of its proper divisors (211295152627026).

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

106616772930816 is an frugal number, since it uses more digits than its factorization.

106616772930816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141626809 (or 5141626786 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 106616772930816 in words is "one hundred six trillion, six hundred sixteen billion, seven hundred seventy-two million, nine hundred thirty thousand, eight hundred sixteen".