105226760 has 32 divisors (see below), whose sum is σ = 237639960. Its totient is φ = 41934336.

The previous prime is 105226733. The next prime is 105226777. The reversal of 105226760 is 67622501.

It can be written as a sum of positive squares in 4 ways, for example, as 38019556 + 67207204 = 6166^2 + 8198^2 .

It is a super-2 number, since 2×105226760² = 22145342040195200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6332 + ... + 15828.

Almost surely, 2^105226760 is an apocalyptic number.

105226760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105226760 is an abundant number, since it is smaller than the sum of its proper divisors (132413200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105226760 is a wasteful number, since it uses less digits than its factorization.

105226760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9785 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 105226760 is about 10258.0095535148. The cubic root of 105226760 is about 472.1087679049.

The spelling of 105226760 in words is "one hundred five million, two hundred twenty-six thousand, seven hundred sixty".