105125120 has 36 divisors (see below), whose sum is σ = 251810580. Its totient is φ = 42049536.

The previous prime is 105125071. The next prime is 105125131. The reversal of 105125120 is 21521501.

It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 87011584 = 4256^2 + 9328^2 .

It is a super-2 number, since 2×105125120² = 22102581710028800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39785 + ... + 42344.

Almost surely, 2^105125120 is an apocalyptic number.

105125120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105125120 is an abundant number, since it is smaller than the sum of its proper divisors (146685460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105125120 is an frugal number, since it uses more digits than its factorization.

105125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82150 (or 82136 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 105125120 is about 10253.0541791215. The cubic root of 105125120 is about 471.9567134487.

Adding to 105125120 its reverse (21521501), we get a palindrome (126646621).

The spelling of 105125120 in words is "one hundred five million, one hundred twenty-five thousand, one hundred twenty".