105680625 has 40 divisors (see below), whose sum is σ = 177693120. Its totient is φ = 55848000.

The previous prime is 105680557. The next prime is 105680633. The reversal of 105680625 is 526086501.

It is not a de Polignac number, because 105680625 - 2¹⁴ = 105664241 is a prime.

It is a super-2 number, since 2×105680625² = 22336789000781250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 294196 + ... + 294554.

It is an arithmetic number, because the mean of its divisors is an integer number (4442328).

Almost surely, 2^105680625 is an apocalyptic number.

105680625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105680625 is a deficient number, since it is larger than the sum of its proper divisors (72012495).

105680625 is an equidigital number, since it uses as much as digits as its factorization.

105680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 105680625 is about 10280.1082192747. The cubic root of 105680625 is about 472.7865622639.

The spelling of 105680625 in words is "one hundred five million, six hundred eighty thousand, six hundred twenty-five".