106912650625 has 135 divisors (see below), whose sum is σ = 155885638909. Its totient is φ = 73242400000.

The previous prime is 106912650623. The next prime is 106912650631. The reversal of 106912650625 is 526056219601.

The square root of 106912650625 is 326975.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 49387506289 + 57525144336 = 222233^2 + 239844^2 .

It is not a de Polignac number, because 106912650625 - 2¹ = 106912650623 is a prime.

It is a super-2 number, since 2×106912650625² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106912650623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2607625605 + ... + 2607625645.

Almost surely, 2^106912650625 is an apocalyptic number.

106912650625 is the 326975-th square number.

106912650625 is the 163488-th centered octagonal number.

It is an amenable number.

106912650625 is a deficient number, since it is larger than the sum of its proper divisors (48972988284).

106912650625 is an frugal number, since it uses more digits than its factorization.

106912650625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 106912650625 in words is "one hundred six billion, nine hundred twelve million, six hundred fifty thousand, six hundred twenty-five".