106959125124 has 36 divisors (see below), whose sum is σ = 272993849856. Its totient is φ = 35306894448.

The previous prime is 106959125111. The next prime is 106959125173. The reversal of 106959125124 is 421521959601.

106959125124 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 591 + 2 + 51 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106959125124² (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 106959125124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14419044 + ... + 14426459.

It is an arithmetic number, because the mean of its divisors is an integer number (7583162496).

Almost surely, 2^106959125124 is an apocalyptic number.

It is an amenable number.

106959125124 is an abundant number, since it is smaller than the sum of its proper divisors (166034724732).

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

106959125124 is a wasteful number, since it uses less digits than its factorization.

106959125124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28845616 (or 28845611 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 106959125124 in words is "one hundred six billion, nine hundred fifty-nine million, one hundred twenty-five thousand, one hundred twenty-four".