105710825 has 12 divisors (see below), whose sum is σ = 142998288. Its totient is φ = 76880400.

The previous prime is 105710821. The next prime is 105710873. The reversal of 105710825 is 528017501.

It is not a de Polignac number, because 105710825 - 2² = 105710821 is a prime.

It is a super-2 number, since 2×105710825² = 22349557044361250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105710821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191927 + ... + 192476.

It is an arithmetic number, because the mean of its divisors is an integer number (11916524).

Almost surely, 2^105710825 is an apocalyptic number.

It is an amenable number.

105710825 is a deficient number, since it is larger than the sum of its proper divisors (37287463).

105710825 is a wasteful number, since it uses less digits than its factorization.

105710825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384424 (or 384419 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 29.

The square root of 105710825 is about 10281.5769704846. The cubic root of 105710825 is about 472.8315935215.

The spelling of 105710825 in words is "one hundred five million, seven hundred ten thousand, eight hundred twenty-five".