105979680612 has 96 divisors (see below), whose sum is σ = 296130912000. Its totient is φ = 32583430656.

The previous prime is 105979680589. The next prime is 105979680643. The reversal of 105979680612 is 216086979501.

105979680612 is a `hidden beast` number, since 10 + 5 + 9 + 7 + 9 + 6 + 8 + 0 + 612 = 666.

It is a super-2 number, since 2×105979680612² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1791889 + ... + 1850087.

It is an arithmetic number, because the mean of its divisors is an integer number (3084697000).

Almost surely, 2^105979680612 is an apocalyptic number.

105979680612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105979680612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148065456000).

105979680612 is an abundant number, since it is smaller than the sum of its proper divisors (190151231388).

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

105979680612 is a wasteful number, since it uses less digits than its factorization.

105979680612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59522 (or 59514 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 105979680612 in words is "one hundred five billion, nine hundred seventy-nine million, six hundred eighty thousand, six hundred twelve".