105564461295 has 16 divisors (see below), whose sum is σ = 168907667040. Its totient is φ = 56299536384.

The previous prime is 105564461287. The next prime is 105564461297. The reversal of 105564461295 is 592164465501.

It is not a de Polignac number, because 105564461295 - 2³ = 105564461287 is a prime.

It is a super-2 number, since 2×105564461295² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105564461297) 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, 698767 + ... + 836303.

It is an arithmetic number, because the mean of its divisors is an integer number (10556729190).

Almost surely, 2^105564461295 is an apocalyptic number.

105564461295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105564461295 is a deficient number, since it is larger than the sum of its proper divisors (63343205745).

105564461295 is a wasteful number, since it uses less digits than its factorization.

105564461295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188714.

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 105564461295 in words is "one hundred five billion, five hundred sixty-four million, four hundred sixty-one thousand, two hundred ninety-five".