105345300113088 has 112 divisors (see below), whose sum is σ = 318907345545984. Its totient is φ = 30064336819200.

The previous prime is 105345300113063. The next prime is 105345300113113. The reversal of 105345300113088 is 880311003543501.

It is an interprime number because it is at equal distance from previous prime (105345300113063) and next prime (105345300113113).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×105345300113088² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43508838 + ... + 45866213.

Almost surely, 2^{105345300113088} is an apocalyptic number.

It is an amenable number.

105345300113088 is an abundant number, since it is smaller than the sum of its proper divisors (213562045432896).

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

105345300113088 is an equidigital number, since it uses as much as digits as its factorization.

105345300113088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89375950 (or 89375940 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

Adding to 105345300113088 its reverse (880311003543501), we get a palindrome (985656303656589).

The spelling of 105345300113088 in words is "one hundred five trillion, three hundred forty-five billion, three hundred million, one hundred thirteen thousand, eighty-eight".