105893825 has 12 divisors (see below), whose sum is σ = 131708460. Its totient is φ = 84456960.

The previous prime is 105893797. The next prime is 105893839. The reversal of 105893825 is 528398501.

It can be written as a sum of positive squares in 6 ways, for example, as 790321 + 105103504 = 889^2 + 10252^2 .

It is not a de Polignac number, because 105893825 - 2⁸ = 105893569 is a prime.

It is a super-2 number, since 2×105893825² = 22427004346261250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2141 + ... + 14709.

It is an arithmetic number, because the mean of its divisors is an integer number (10975705).

Almost surely, 2^105893825 is an apocalyptic number.

It is an amenable number.

105893825 is a deficient number, since it is larger than the sum of its proper divisors (25814635).

105893825 is a wasteful number, since it uses less digits than its factorization.

105893825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12916 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 105893825 is about 10290.4725353115. The cubic root of 105893825 is about 473.1042817690.

The spelling of 105893825 in words is "one hundred five million, eight hundred ninety-three thousand, eight hundred twenty-five".