100105510105 has 16 divisors (see below), whose sum is σ = 121287870720. Its totient is φ = 79310712832.

The previous prime is 100105510051. The next prime is 100105510129. The reversal of 100105510105 is 501015501001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100105510105 - 2¹⁵ = 100105477337 is a prime.

It is a super-2 number, since 2×100105510105² (a number of 23 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, 1752912 + ... + 1809118.

It is an arithmetic number, because the mean of its divisors is an integer number (7580491920).

Almost surely, 2^100105510105 is an apocalyptic number.

It is an amenable number.

100105510105 is a deficient number, since it is larger than the sum of its proper divisors (21182360615).

100105510105 is a wasteful number, since it uses less digits than its factorization.

100105510105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59648.

The product of its (nonzero) digits is 125, while the sum is 19.

The spelling of 100105510105 in words is "one hundred billion, one hundred five million, five hundred ten thousand, one hundred five".