105414114565164 has 48 divisors (see below), whose sum is σ = 253888845065856. Its totient is φ = 34019325724800.

The previous prime is 105414114565159. The next prime is 105414114565169. The reversal of 105414114565164 is 461565411414501.

It is an interprime number because it is at equal distance from previous prime (105414114565159) and next prime (105414114565169).

It is a super-2 number, since 2×105414114565164² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105414114565169) 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, 817707802 + ... + 817836705.

It is an arithmetic number, because the mean of its divisors is an integer number (5289350938872).

Almost surely, 2^{105414114565164} is an apocalyptic number.

It is an amenable number.

105414114565164 is an abundant number, since it is smaller than the sum of its proper divisors (148474730500692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105414114565164 is a wasteful number, since it uses less digits than its factorization.

105414114565164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635544686 (or 1635544684 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

Adding to 105414114565164 its reverse (461565411414501), we get a palindrome (566979525979665).

The spelling of 105414114565164 in words is "one hundred five trillion, four hundred fourteen billion, one hundred fourteen million, five hundred sixty-five thousand, one hundred sixty-four".