105413665 has 16 divisors (see below), whose sum is σ = 148095360. Its totient is φ = 70519680.

The previous prime is 105413663. The next prime is 105413681. The reversal of 105413665 is 566314501.

It is not a de Polignac number, because 105413665 - 2¹ = 105413663 is a prime.

It is a super-2 number, since 2×105413665² = 22224081537464450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105413663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35295 + ... + 38164.

It is an arithmetic number, because the mean of its divisors is an integer number (9255960).

Almost surely, 2^105413665 is an apocalyptic number.

It is an amenable number.

105413665 is a deficient number, since it is larger than the sum of its proper divisors (42681695).

105413665 is an equidigital number, since it uses as much as digits as its factorization.

105413665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73512.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 105413665 is about 10267.1157098768. The cubic root of 105413665 is about 472.3881242738.

The spelling of 105413665 in words is "one hundred five million, four hundred thirteen thousand, six hundred sixty-five".