105564460115 has 16 divisors (see below), whose sum is σ = 130873556736. Its totient is φ = 81658675200.

The previous prime is 105564460103. The next prime is 105564460117. The reversal of 105564460115 is 511064465501.

It is not a de Polignac number, because 105564460115 - 2¹⁴ = 105564443731 is a prime.

It is a super-2 number, since 2×105564460115² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105564460117) 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, 100526 + ... + 470355.

It is an arithmetic number, because the mean of its divisors is an integer number (8179597296).

Almost surely, 2^105564460115 is an apocalyptic number.

105564460115 is a deficient number, since it is larger than the sum of its proper divisors (25309096621).

105564460115 is a wasteful number, since it uses less digits than its factorization.

105564460115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572110.

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 105564460115 in words is "one hundred five billion, five hundred sixty-four million, four hundred sixty thousand, one hundred fifteen".