10100505105 has 24 divisors (see below), whose sum is σ = 17729162880. Its totient is φ = 5318745120.

The previous prime is 10100505083. The next prime is 10100505109. The reversal of 10100505105 is 50150500101.

10100505105 is a `hidden beast` number, since 1 + 0 + 100 + 50 + 510 + 5 = 666.

It is not a de Polignac number, because 10100505105 - 2¹¹ = 10100503057 is a prime.

It is a super-2 number, since 2×10100505105² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100505109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417051 + ... + 1424160.

It is an arithmetic number, because the mean of its divisors is an integer number (738715120).

Almost surely, 2^10100505105 is an apocalyptic number.

10100505105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10100505105 is a deficient number, since it is larger than the sum of its proper divisors (7628657775).

10100505105 is a wasteful number, since it uses less digits than its factorization.

10100505105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841301 (or 2841298 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 10100505105 in words is "ten billion, one hundred million, five hundred five thousand, one hundred five".