105580553 has 6 divisors (see below), whose sum is σ = 114327054. Its totient is φ = 97458816.

The previous prime is 105580537. The next prime is 105580567. The reversal of 105580553 is 355085501.

It can be written as a sum of positive squares in 3 ways, for example, as 6538249 + 99042304 = 2557^2 + 9952^2 .

It is not a de Polignac number, because 105580553 - 2⁴ = 105580537 is a prime.

It is a super-2 number, since 2×105580553² = 22294506343571618, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105585553) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 312200 + ... + 312537.

It is an arithmetic number, because the mean of its divisors is an integer number (19054509).

Almost surely, 2^105580553 is an apocalyptic number.

105580553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105580553 is a deficient number, since it is larger than the sum of its proper divisors (8746501).

105580553 is an equidigital number, since it uses as much as digits as its factorization.

105580553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624763 (or 624750 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The square root of 105580553 is about 10275.2398025545. The cubic root of 105580553 is about 472.6372834387.

The spelling of 105580553 in words is "one hundred five million, five hundred eighty thousand, five hundred fifty-three".