105011105555060 has 24 divisors (see below), whose sum is σ = 233495281764360. Its totient is φ = 39533592679424.

The previous prime is 105011105555039. The next prime is 105011105555119. The reversal of 105011105555060 is 60555501110501.

It can be written as a sum of positive squares in 4 ways, for example, as 28067998709776 + 76943106845284 = 5297924^2 + 8771722^2 .

It is a super-2 number, since 2×105011105555060² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105011105555060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154428096065 + ... + 154428096744.

It is an arithmetic number, because the mean of its divisors is an integer number (9728970073515).

Almost surely, 2^{105011105555060} is an apocalyptic number.

105011105555060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105011105555060 is an abundant number, since it is smaller than the sum of its proper divisors (128484176209300).

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

105011105555060 is a wasteful number, since it uses less digits than its factorization.

105011105555060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308856192835 (or 308856192833 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 35.

Adding to 105011105555060 its reverse (60555501110501), we get a palindrome (165566606665561).

The spelling of 105011105555060 in words is "one hundred five trillion, eleven billion, one hundred five million, five hundred fifty-five thousand, sixty".