105628250025 has 81 divisors (see below), whose sum is σ = 193723160293. Its totient is φ = 55016846400.

The previous prime is 105628250023. The next prime is 105628250029. The reversal of 105628250025 is 520052826501.

It is a happy number.

The square root of 105628250025 is 325005.

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

105628250025 is a `hidden beast` number, since 1 + 0 + 5 + 628 + 2 + 5 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10798742889 + 94829507136 = 103917^2 + 307944^2 .

It is not a de Polignac number, because 105628250025 - 2¹ = 105628250023 is a prime.

It is a super-2 number, since 2×105628250025² (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 (105628250023) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 229128295 + ... + 229128755.

Almost surely, 2^105628250025 is an apocalyptic number.

105628250025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105628250025 is the 325005-th square number.

105628250025 is the 162503-rd centered octagonal number.

It is an amenable number.

105628250025 is a deficient number, since it is larger than the sum of its proper divisors (88094910268).

105628250025 is an frugal number, since it uses more digits than its factorization.

105628250025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Multiplying 105628250025 by its sum of digits (36), we get a square (3802617000900 = 1950030²).

The spelling of 105628250025 in words is "one hundred five billion, six hundred twenty-eight million, two hundred fifty thousand, twenty-five".