105005005510504 has 64 divisors (see below), whose sum is σ = 214915602556800. Its totient is φ = 47700082483200.

The previous prime is 105005005510501. The next prime is 105005005510513. The reversal of 105005005510504 is 405015500500501.

It is a super-2 number, since 2×105005005510504² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005005510501) 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, 951430477 + ... + 951540835.

It is an arithmetic number, because the mean of its divisors is an integer number (3358056289950).

Almost surely, 2^{105005005510504} is an apocalyptic number.

It is an amenable number.

105005005510504 is an abundant number, since it is smaller than the sum of its proper divisors (109910597046296).

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

105005005510504 is a wasteful number, since it uses less digits than its factorization.

105005005510504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116954 (or 116950 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 31.

The spelling of 105005005510504 in words is "one hundred five trillion, five billion, five million, five hundred ten thousand, five hundred four".