10505556105100 has 36 divisors (see below), whose sum is σ = 26053779142384. Its totient is φ = 3601904950080.

The previous prime is 10505556105019. The next prime is 10505556105101. The reversal of 10505556105100 is 150165550501.

It is a super-2 number, since 2×10505556105100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505556105101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7503967947 + ... + 7503969346.

Almost surely, 2^{10505556105100} is an apocalyptic number.

10505556105100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505556105100 is an abundant number, since it is smaller than the sum of its proper divisors (15548223037284).

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

10505556105100 is a wasteful number, since it uses less digits than its factorization.

10505556105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15007937314 (or 15007937307 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 10505556105100 in words is "ten trillion, five hundred five billion, five hundred fifty-six million, one hundred five thousand, one hundred".