105186705625 has 15 divisors (see below), whose sum is σ = 131451440043. Its totient is φ = 84142878000.

The previous prime is 105186705599. The next prime is 105186705691. The reversal of 105186705625 is 526507681501.

The square root of 105186705625 is 324325.

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

It can be written as a sum of positive squares in 7 ways, for example, as 100100733769 + 5085971856 = 316387^2 + 71316^2 .

It is not a de Polignac number, because 105186705625 - 2⁷ = 105186705497 is a prime.

It is a super-2 number, since 2×105186705625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8101639 + ... + 8114611.

Almost surely, 2^105186705625 is an apocalyptic number.

105186705625 is the 324325-th square number.

105186705625 is the 162163-rd centered octagonal number.

It is an amenable number.

105186705625 is a deficient number, since it is larger than the sum of its proper divisors (26264734418).

105186705625 is an frugal number, since it uses more digits than its factorization.

105186705625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25966 (or 12978 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 46.

The spelling of 105186705625 in words is "one hundred five billion, one hundred eighty-six million, seven hundred five thousand, six hundred twenty-five".