105610005508504 has 128 divisors (see below), whose sum is σ = 231666656256000. Its totient is φ = 44197697516544.

The previous prime is 105610005508487. The next prime is 105610005508517. The reversal of 105610005508504 is 405805500016501.

It is a super-2 number, since 2×105610005508504² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3149794012 + ... + 3149827540.

It is an arithmetic number, because the mean of its divisors is an integer number (1809895752000).

Almost surely, 2^{105610005508504} is an apocalyptic number.

105610005508504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105610005508504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115833328128000).

105610005508504 is an abundant number, since it is smaller than the sum of its proper divisors (126056650747496).

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

105610005508504 is a wasteful number, since it uses less digits than its factorization.

105610005508504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38577 (or 38573 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 40.

The spelling of 105610005508504 in words is "one hundred five trillion, six hundred ten billion, five million, five hundred eight thousand, five hundred four".