105085757 has 4 divisors (see below), whose sum is σ = 120098016. Its totient is φ = 90073500.

The previous prime is 105085733. The next prime is 105085847. The reversal of 105085757 is 757580501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 757580501 = 6473 ⋅117037.

It is a cyclic number.

It is not a de Polignac number, because 105085757 - 2¹⁶ = 105020221 is a prime.

It is a super-2 number, since 2×105085757² = 22086032648526098, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105085757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105085727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7506119 + ... + 7506132.

It is an arithmetic number, because the mean of its divisors is an integer number (30024504).

Almost surely, 2^105085757 is an apocalyptic number.

It is an amenable number.

105085757 is a deficient number, since it is larger than the sum of its proper divisors (15012259).

105085757 is an equidigital number, since it uses as much as digits as its factorization.

105085757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15012258.

The product of its (nonzero) digits is 49000, while the sum is 38.

The square root of 105085757 is about 10251.1344250283. The cubic root of 105085757 is about 471.8977996790.

The spelling of 105085757 in words is "one hundred five million, eighty-five thousand, seven hundred fifty-seven".