105154275625 has 135 divisors (see below), whose sum is σ = 163877627529. Its totient is φ = 67241664000.

The previous prime is 105154275571. The next prime is 105154275649. The reversal of 105154275625 is 526572451501.

The square root of 105154275625 is 324275.

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

It can be written as a sum of positive squares in 22 ways, for example, as 100405963161 + 4748312464 = 316869^2 + 68908^2 .

It is not a de Polignac number, because 105154275625 - 2¹⁹ = 105153751337 is a prime.

It is a super-2 number, since 2×105154275625² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 964718071 + ... + 964718179.

Almost surely, 2^105154275625 is an apocalyptic number.

105154275625 is the 324275-th square number.

105154275625 is the 162138-th centered octagonal number.

It is an amenable number.

105154275625 is a deficient number, since it is larger than the sum of its proper divisors (58723351904).

105154275625 is an frugal number, since it uses more digits than its factorization.

105154275625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 43.

The spelling of 105154275625 in words is "one hundred five billion, one hundred fifty-four million, two hundred seventy-five thousand, six hundred twenty-five".