106937479656 has 144 divisors (see below), whose sum is σ = 337085049600. Its totient is φ = 30537476928.

The previous prime is 106937479603. The next prime is 106937479667. The reversal of 106937479656 is 656974739601.

106937479656 is a `hidden beast` number, since 10 + 6 + 93 + 7 + 479 + 65 + 6 = 666.

It is a super-2 number, since 2×106937479656² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 106937479593 and 106937479602.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7765305 + ... + 7779063.

It is an arithmetic number, because the mean of its divisors is an integer number (2340868400).

Almost surely, 2^106937479656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106937479656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168542524800).

106937479656 is an abundant number, since it is smaller than the sum of its proper divisors (230147569944).

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

106937479656 is a wasteful number, since it uses less digits than its factorization.

106937479656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15988 (or 15974 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 106937479656 in words is "one hundred six billion, nine hundred thirty-seven million, four hundred seventy-nine thousand, six hundred fifty-six".