105073122725 has 24 divisors (see below), whose sum is σ = 138669729480. Its totient is φ = 78703902720.

The previous prime is 105073122667. The next prime is 105073122757. The reversal of 105073122725 is 527221370501.

It can be written as a sum of positive squares in 12 ways, for example, as 28347446689 + 76725676036 = 168367^2 + 276994^2 .

It is not a de Polignac number, because 105073122725 - 2²² = 105068928421 is a prime.

It is a super-2 number, since 2×105073122725² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558470 + ... + 722519.

It is an arithmetic number, because the mean of its divisors is an integer number (5777905395).

Almost surely, 2^105073122725 is an apocalyptic number.

It is an amenable number.

105073122725 is a deficient number, since it is larger than the sum of its proper divisors (33596606755).

105073122725 is a wasteful number, since it uses less digits than its factorization.

105073122725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281209 (or 1281204 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 105073122725 in words is "one hundred five billion, seventy-three million, one hundred twenty-two thousand, seven hundred twenty-five".