105108937630225 has 27 divisors (see below), whose sum is σ = 130780590648507. Its totient is φ = 83800701820080.

The previous prime is 105108937630219. The next prime is 105108937630231. The reversal of 105108937630225 is 522036739801501.

The square root of 105108937630225 is 10252265.

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

It is an interprime number because it is at equal distance from previous prime (105108937630219) and next prime (105108937630231).

It can be written as a sum of positive squares in only one way, i.e., 37839217546881 + 67269720083344 = 6151359^2 + 8201812^2 .

It is not a de Polignac number, because 105108937630225 - 2²⁵ = 105108904075793 is a prime.

It is a super-2 number, since 2×105108937630225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15737223436 + ... + 15737230114.

Almost surely, 2^{105108937630225} is an apocalyptic number.

105108937630225 is the 10252265-th square number.

105108937630225 is the 5126133-rd centered octagonal number.

It is an amenable number.

105108937630225 is a deficient number, since it is larger than the sum of its proper divisors (25671653018282).

105108937630225 is an frugal number, since it uses more digits than its factorization.

105108937630225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13982 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 105108937630225 in words is "one hundred five trillion, one hundred eight billion, nine hundred thirty-seven million, six hundred thirty thousand, two hundred twenty-five".