105404502511 has 48 divisors (see below), whose sum is σ = 139916851200. Its totient is φ = 77566769280.

The previous prime is 105404502509. The next prime is 105404502523. The reversal of 105404502511 is 115205404501.

It is not a de Polignac number, because 105404502511 - 2¹ = 105404502509 is a prime.

It is a super-2 number, since 2×105404502511² (a number of 23 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 105404502511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105404502611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1504755 + ... + 1573243.

It is an arithmetic number, because the mean of its divisors is an integer number (2914934400).

Almost surely, 2^105404502511 is an apocalyptic number.

105404502511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105404502511 is a deficient number, since it is larger than the sum of its proper divisors (34512348689).

105404502511 is a wasteful number, since it uses less digits than its factorization.

105404502511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68620 (or 68609 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The spelling of 105404502511 in words is "one hundred five billion, four hundred four million, five hundred two thousand, five hundred eleven".