105800261 has 12 divisors (see below), whose sum is σ = 124274592. Its totient is φ = 89801208.

The previous prime is 105800257. The next prime is 105800269. The reversal of 105800261 is 162008501.

It is not a de Polignac number, because 105800261 - 2² = 105800257 is a prime.

It is a super-2 number, since 2×105800261² = 22387390455336242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105800269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5435 + ... + 15528.

It is an arithmetic number, because the mean of its divisors is an integer number (10356216).

Almost surely, 2^105800261 is an apocalyptic number.

It is an amenable number.

105800261 is a deficient number, since it is larger than the sum of its proper divisors (18474331).

105800261 is a wasteful number, since it uses less digits than its factorization.

105800261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21080 (or 21073 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 105800261 is about 10285.9253837465. The cubic root of 105800261 is about 472.9649013642.

Adding to 105800261 its reverse (162008501), we get a palindrome (267808762).

The spelling of 105800261 in words is "one hundred five million, eight hundred thousand, two hundred sixty-one".