105580233 has 32 divisors (see below), whose sum is σ = 172730880. Its totient is φ = 63202320.

The previous prime is 105580229. The next prime is 105580243. The reversal of 105580233 is 332085501.

It is not a de Polignac number, because 105580233 - 2² = 105580229 is a prime.

It is a super-2 number, since 2×105580233² = 22294371200668578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105580197 and 105580206.

It is not an unprimeable number, because it can be changed into a prime (105580243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22510 + ... + 26792.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^105580233 is an apocalyptic number.

It is an amenable number.

105580233 is a deficient number, since it is larger than the sum of its proper divisors (67150647).

105580233 is a wasteful number, since it uses less digits than its factorization.

105580233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105580233 is about 10275.2242311299. The cubic root of 105580233 is about 472.6368059389.

The spelling of 105580233 in words is "one hundred five million, five hundred eighty thousand, two hundred thirty-three".