105536625 has 16 divisors (see below), whose sum is σ = 175613568. Its totient is φ = 56286000.

The previous prime is 105536603. The next prime is 105536647. The reversal of 105536625 is 526635501.

It is an interprime number because it is at equal distance from previous prime (105536603) and next prime (105536647).

It is not a de Polignac number, because 105536625 - 2⁵ = 105536593 is a prime.

It is a super-2 number, since 2×105536625² = 22275958432781250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140341 + ... + 141090.

It is an arithmetic number, because the mean of its divisors is an integer number (10975848).

Almost surely, 2^105536625 is an apocalyptic number.

105536625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105536625 is a deficient number, since it is larger than the sum of its proper divisors (70076943).

105536625 is an equidigital number, since it uses as much as digits as its factorization.

105536625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281449 (or 281439 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 105536625 is about 10273.1020144842. The cubic root of 105536625 is about 472.5717256250.

The spelling of 105536625 in words is "one hundred five million, five hundred thirty-six thousand, six hundred twenty-five".