105116625 has 48 divisors (see below), whose sum is σ = 190794240. Its totient is φ = 55677600.

The previous prime is 105116617. The next prime is 105116633. The reversal of 105116625 is 526611501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105116617) and next prime (105116633).

It is not a de Polignac number, because 105116625 - 2³ = 105116617 is a prime.

It is a super-2 number, since 2×105116625² = 22099009702781250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250666 + ... + 251084.

It is an arithmetic number, because the mean of its divisors is an integer number (3974880).

Almost surely, 2^105116625 is an apocalyptic number.

105116625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105116625 is a deficient number, since it is larger than the sum of its proper divisors (85677615).

105116625 is a wasteful number, since it uses less digits than its factorization.

105116625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 105116625 is about 10252.6399039467. The cubic root of 105116625 is about 471.9440004065.

The spelling of 105116625 in words is "one hundred five million, one hundred sixteen thousand, six hundred twenty-five".