105085756 has 12 divisors (see below), whose sum is σ = 184312800. Its totient is φ = 52424960.

The previous prime is 105085733. The next prime is 105085847. The reversal of 105085756 is 657580501.

It is a super-2 number, since 2×105085756² = 22086032228183072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27460 + ... + 31051.

It is an arithmetic number, because the mean of its divisors is an integer number (15359400).

Almost surely, 2^105085756 is an apocalyptic number.

It is an amenable number.

105085756 is a deficient number, since it is larger than the sum of its proper divisors (79227044).

105085756 is a wasteful number, since it uses less digits than its factorization.

105085756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58964 (or 58962 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 37.

The square root of 105085756 is about 10251.1343762532. The cubic root of 105085756 is about 471.8977981822.

The spelling of 105085756 in words is "one hundred five million, eighty-five thousand, seven hundred fifty-six".