105425125 has 16 divisors (see below), whose sum is σ = 141693552. Its totient is φ = 77851200.

The previous prime is 105425087. The next prime is 105425147. The reversal of 105425125 is 521524501.

It can be written as a sum of positive squares in 8 ways, for example, as 22724289 + 82700836 = 4767^2 + 9094^2 .

It is not a de Polignac number, because 105425125 - 2⁷ = 105424997 is a prime.

It is a super-2 number, since 2×105425125² = 22228913962531250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 105425125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30814 + ... + 34063.

It is an arithmetic number, because the mean of its divisors is an integer number (8855847).

Almost surely, 2^105425125 is an apocalyptic number.

It is an amenable number.

105425125 is a deficient number, since it is larger than the sum of its proper divisors (36268427).

105425125 is an equidigital number, since it uses as much as digits as its factorization.

105425125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64905 (or 64895 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 105425125 is about 10267.6737871828. The cubic root of 105425125 is about 472.4052421422.

Adding to 105425125 its reverse (521524501), we get a palindrome (626949626).

The spelling of 105425125 in words is "one hundred five million, four hundred twenty-five thousand, one hundred twenty-five".