105516625 has 32 divisors (see below), whose sum is σ = 137225088. Its totient is φ = 80942400.

The previous prime is 105516601. The next prime is 105516629. The reversal of 105516625 is 526615501.

It is not a de Polignac number, because 105516625 - 2⁷ = 105516497 is a prime.

It is a super-2 number, since 2×105516625² = 22267516302781250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105516629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359979 + ... + 360271.

It is an arithmetic number, because the mean of its divisors is an integer number (4288284).

Almost surely, 2^105516625 is an apocalyptic number.

It is an amenable number.

105516625 is a deficient number, since it is larger than the sum of its proper divisors (31708463).

105516625 is an equidigital number, since it uses as much as digits as its factorization.

105516625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 105516625 is about 10272.1285525445. The cubic root of 105516625 is about 472.5418717501.

The spelling of 105516625 in words is "one hundred five million, five hundred sixteen thousand, six hundred twenty-five".