10505520667100 has 18 divisors (see below), whose sum is σ = 22796979847824. Its totient is φ = 4202208266800.

The previous prime is 10505520666989. The next prime is 10505520667127. The reversal of 10505520667100 is 176602550501.

10505520667100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10505520667100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52527603236 + ... + 52527603435.

Almost surely, 2^{10505520667100} is an apocalyptic number.

10505520667100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505520667100 is an abundant number, since it is smaller than the sum of its proper divisors (12291459180724).

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

10505520667100 is a wasteful number, since it uses less digits than its factorization.

10505520667100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105055206685 (or 105055206678 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 10505520667100 in words is "ten trillion, five hundred five billion, five hundred twenty million, six hundred sixty-seven thousand, one hundred".