105214253125 has 24 divisors (see below), whose sum is σ = 131798954952. Its totient is φ = 83986080000.

The previous prime is 105214253101. The next prime is 105214253153. The reversal of 105214253125 is 521352412501.

It can be written as a sum of positive squares in 12 ways, for example, as 83118619809 + 22095633316 = 288303^2 + 148646^2 .

It is not a de Polignac number, because 105214253125 - 2²⁷ = 105080035397 is a prime.

It is a super-2 number, since 2×105214253125² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 1391289 + ... + 1464961.

It is an arithmetic number, because the mean of its divisors is an integer number (5491623123).

Almost surely, 2^105214253125 is an apocalyptic number.

It is an amenable number.

105214253125 is a deficient number, since it is larger than the sum of its proper divisors (26584701827).

105214253125 is an frugal number, since it uses more digits than its factorization.

105214253125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74155 (or 74135 counting only the distinct ones).

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

Adding to 105214253125 its reverse (521352412501), we get a palindrome (626566665626).

The spelling of 105214253125 in words is "one hundred five billion, two hundred fourteen million, two hundred fifty-three thousand, one hundred twenty-five".