10505613104 has 80 divisors (see below), whose sum is σ = 23494924800. Its totient is φ = 4457644032.

The previous prime is 10505613061. The next prime is 10505613127. The reversal of 10505613104 is 40131650501.

It is a super-2 number, since 2×10505613104² (a number of 21 digits) contains 22 as substring.

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, 5151317 + ... + 5153355.

It is an arithmetic number, because the mean of its divisors is an integer number (293686560).

Almost surely, 2^10505613104 is an apocalyptic number.

10505613104 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 10505613104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11747462400).

10505613104 is an abundant number, since it is smaller than the sum of its proper divisors (12989311696).

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

10505613104 is a wasteful number, since it uses less digits than its factorization.

10505613104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 10505613104 in words is "ten billion, five hundred five million, six hundred thirteen thousand, one hundred four".