105085755 has 40 divisors (see below), whose sum is σ = 199469952. Its totient is φ = 52745472.

The previous prime is 105085733. The next prime is 105085847. The reversal of 105085755 is 557580501.

It is not a de Polignac number, because 105085755 - 2⁵ = 105085723 is a prime.

It is a super-2 number, since 2×105085755² = 22086031807840050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 747 + ... + 14516.

Almost surely, 2^105085755 is an apocalyptic number.

105085755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105085755 is a deficient number, since it is larger than the sum of its proper divisors (94384197).

105085755 is a wasteful number, since it uses less digits than its factorization.

105085755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15297 (or 15288 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 36.

The square root of 105085755 is about 10251.1343274781. The cubic root of 105085755 is about 471.8977966853.

The spelling of 105085755 in words is "one hundred five million, eighty-five thousand, seven hundred fifty-five".