105250104023125 has 10 divisors (see below), whose sum is σ = 131520529988078. Its totient is φ = 84200083218000.

The previous prime is 105250104022963. The next prime is 105250104023167. The reversal of 105250104023125 is 521320401052501.

It can be written as a sum of positive squares in 5 ways, for example, as 62077727039364 + 43172376983761 = 7878942^2 + 6570569^2 .

It is not a de Polignac number, because 105250104023125 - 2²¹ = 105250101925973 is a prime.

It is a super-2 number, since 2×105250104023125² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent 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 9 ways as a sum of consecutive naturals, for example, 84200082594 + ... + 84200083843.

Almost surely, 2^{105250104023125} is an apocalyptic number.

It is an amenable number.

105250104023125 is a deficient number, since it is larger than the sum of its proper divisors (26270425964953).

105250104023125 is an frugal number, since it uses more digits than its factorization.

105250104023125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168400166457 (or 168400166442 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 105250104023125 its reverse (521320401052501), we get a palindrome (626570505075626).

The spelling of 105250104023125 in words is "one hundred five trillion, two hundred fifty billion, one hundred four million, twenty-three thousand, one hundred twenty-five".