105564261 has 16 divisors (see below), whose sum is σ = 154912320. Its totient is φ = 63409920.

The previous prime is 105564259. The next prime is 105564281. The reversal of 105564261 is 162465501.

It is not a de Polignac number, because 105564261 - 2¹ = 105564259 is a prime.

It is a super-2 number, since 2×105564261² = 22287626400952242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105564241) 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, 10426 + ... + 17883.

It is an arithmetic number, because the mean of its divisors is an integer number (9682020).

Almost surely, 2^105564261 is an apocalyptic number.

105564261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105564261 is a deficient number, since it is larger than the sum of its proper divisors (49348059).

105564261 is a wasteful number, since it uses less digits than its factorization.

105564261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28436.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105564261 is about 10274.4469924176. The cubic root of 105564261 is about 472.6129715034.

The spelling of 105564261 in words is "one hundred five million, five hundred sixty-four thousand, two hundred sixty-one".