105673755625 has 15 divisors (see below), whose sum is σ = 132060081153. Its totient is φ = 84532503000.

The previous prime is 105673755623. The next prime is 105673755653. The reversal of 105673755625 is 526557376501.

The square root of 105673755625 is 325075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8284822441 + 97388933184 = 91021^2 + 312072^2 .

It is not a de Polignac number, because 105673755625 - 2¹ = 105673755623 is a prime.

It is a super-2 number, since 2×105673755625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105673755623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8120374 + ... + 8133376.

Almost surely, 2^105673755625 is an apocalyptic number.

105673755625 is the 325075-th square number.

105673755625 is the 162538-th centered octagonal number.

It is an amenable number.

105673755625 is a deficient number, since it is larger than the sum of its proper divisors (26386325528).

105673755625 is an frugal number, since it uses more digits than its factorization.

105673755625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26026 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 52.

The spelling of 105673755625 in words is "one hundred five billion, six hundred seventy-three million, seven hundred fifty-five thousand, six hundred twenty-five".