10105505105100 has 36 divisors (see below), whose sum is σ = 29238594771624. Its totient is φ = 2694801361280.

The previous prime is 10105505105051. The next prime is 10105505105197. The reversal of 10105505105100 is 150150550101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16842508209 + ... + 16842508808.

Almost surely, 2^{10105505105100} is an apocalyptic number.

10105505105100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105505105100 is an abundant number, since it is smaller than the sum of its proper divisors (19133089666524).

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

10105505105100 is a wasteful number, since it uses less digits than its factorization.

10105505105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33685017034 (or 33685017027 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 24.

Adding to 10105505105100 its reverse (150150550101), we get a palindrome (10255655655201).

The spelling of 10105505105100 in words is "ten trillion, one hundred five billion, five hundred five million, one hundred five thousand, one hundred".