105755825 has 12 divisors (see below), whose sum is σ = 149871360. Its totient is φ = 72518160.

The previous prime is 105755809. The next prime is 105755869. The reversal of 105755825 is 528557501.

It is not a de Polignac number, because 105755825 - 2⁴ = 105755809 is a prime.

It is a super-2 number, since 2×105755825² = 22368589042861250, which contains 22 as substring.

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, 301985 + ... + 302334.

It is an arithmetic number, because the mean of its divisors is an integer number (12489280).

Almost surely, 2^105755825 is an apocalyptic number.

It is an amenable number.

105755825 is a deficient number, since it is larger than the sum of its proper divisors (44115535).

105755825 is an equidigital number, since it uses as much as digits as its factorization.

105755825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604336 (or 604331 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 38.

The square root of 105755825 is about 10283.7651178933. The cubic root of 105755825 is about 472.8986771692.

The spelling of 105755825 in words is "one hundred five million, seven hundred fifty-five thousand, eight hundred twenty-five".