105564131 has 8 divisors (see below), whose sum is σ = 107529744. Its totient is φ = 103615200.

The previous prime is 105564119. The next prime is 105564143. The reversal of 105564131 is 131465501.

It is an interprime number because it is at equal distance from previous prime (105564119) and next prime (105564143).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105564131 - 2²⁶ = 38455267 is a prime.

It is a super-2 number, since 2×105564131² = 22287571507570322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105564131.

It is not an unprimeable number, because it can be changed into a prime (105560131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8981 + ... + 17081.

It is an arithmetic number, because the mean of its divisors is an integer number (13441218).

Almost surely, 2^105564131 is an apocalyptic number.

105564131 is a deficient number, since it is larger than the sum of its proper divisors (1965613).

105564131 is an equidigital number, since it uses as much as digits as its factorization.

105564131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8341.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105564131 is about 10274.4406660411. The cubic root of 105564131 is about 472.6127774993.

The spelling of 105564131 in words is "one hundred five million, five hundred sixty-four thousand, one hundred thirty-one".