105652125 has 24 divisors (see below), whose sum is σ = 190457592. Its totient is φ = 56347200.

The previous prime is 105652081. The next prime is 105652139. The reversal of 105652125 is 521256501.

105652125 is a `hidden beast` number, since 1 + 0 + 5 + 652 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1734489 + 103917636 = 1317^2 + 10194^2 .

It is not a de Polignac number, because 105652125 - 2⁸ = 105651869 is a prime.

It is a super-2 number, since 2×105652125² = 22324743034031250, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45832 + ... + 48081.

It is an arithmetic number, because the mean of its divisors is an integer number (7935733).

Almost surely, 2^105652125 is an apocalyptic number.

105652125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105652125 is a deficient number, since it is larger than the sum of its proper divisors (84805467).

105652125 is an equidigital number, since it uses as much as digits as its factorization.

105652125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93934 (or 93921 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105652125 is about 10278.7219536283. The cubic root of 105652125 is about 472.7440580096.

The spelling of 105652125 in words is "one hundred five million, six hundred fifty-two thousand, one hundred twenty-five".