106125555125 has 16 divisors (see below), whose sum is σ = 132458554800. Its totient is φ = 84891558400.

The previous prime is 106125555091. The next prime is 106125555131. The reversal of 106125555125 is 521555521601.

It can be written as a sum of positive squares in 8 ways, for example, as 58630326769 + 47495228356 = 242137^2 + 217934^2 .

It is not a de Polignac number, because 106125555125 - 2³⁶ = 37406078389 is a prime.

It is a super-2 number, since 2×106125555125² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1322141 + ... + 1400109.

It is an arithmetic number, because the mean of its divisors is an integer number (8278659675).

Almost surely, 2^106125555125 is an apocalyptic number.

It is an amenable number.

106125555125 is a deficient number, since it is larger than the sum of its proper divisors (26332999675).

106125555125 is an equidigital number, since it uses as much as digits as its factorization.

106125555125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88873 (or 88863 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 38.

The spelling of 106125555125 in words is "one hundred six billion, one hundred twenty-five million, five hundred fifty-five thousand, one hundred twenty-five".