105505746 has 32 divisors (see below), whose sum is σ = 227293440. Its totient is φ = 32541264.

The previous prime is 105505739. The next prime is 105505753. The reversal of 105505746 is 647505501.

It is an interprime number because it is at equal distance from previous prime (105505739) and next prime (105505753).

It is a super-2 number, since 2×105505746² = 22262924878033032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5860 + ... + 15663.

It is an arithmetic number, because the mean of its divisors is an integer number (7102920).

Almost surely, 2^105505746 is an apocalyptic number.

105505746 is an abundant number, since it is smaller than the sum of its proper divisors (121787694).

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

105505746 is a wasteful number, since it uses less digits than its factorization.

105505746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21590.

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 105505746 is about 10271.5989991822. The cubic root of 105505746 is about 472.5256311507.

The spelling of 105505746 in words is "one hundred five million, five hundred five thousand, seven hundred forty-six".