105264861 has 16 divisors (see below), whose sum is σ = 152053440. Its totient is φ = 64774320.

The previous prime is 105264857. The next prime is 105264881. The reversal of 105264861 is 168462501.

It is not a de Polignac number, because 105264861 - 2² = 105264857 is a prime.

It is a super-2 number, since 2×105264861² = 22161381922698642, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105264851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395 + ... + 14576.

It is an arithmetic number, because the mean of its divisors is an integer number (9503340).

Almost surely, 2^105264861 is an apocalyptic number.

It is an amenable number.

105264861 is a deficient number, since it is larger than the sum of its proper divisors (46788579).

105264861 is an equidigital number, since it uses as much as digits as its factorization.

105264861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16013 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 105264861 is about 10259.8665195996. The cubic root of 105264861 is about 472.1657421498.

The spelling of 105264861 in words is "one hundred five million, two hundred sixty-four thousand, eight hundred sixty-one".