100105500001 has 16 divisors (see below), whose sum is σ = 110466195840. Its totient is φ = 90126103680.

The previous prime is 100105499953. The next prime is 100105500017. The reversal of 100105500001 is 100005501001.

It is a cyclic number.

It is not a de Polignac number, because 100105500001 - 2²³ = 100097111393 is a prime.

It is a super-2 number, since 2×100105500001² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100105500071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2034670 + ... + 2083288.

It is an arithmetic number, because the mean of its divisors is an integer number (6904137240).

Almost surely, 2^100105500001 is an apocalyptic number.

It is an amenable number.

100105500001 is a deficient number, since it is larger than the sum of its proper divisors (10360695839).

100105500001 is a wasteful number, since it uses less digits than its factorization.

100105500001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52536.

The product of its (nonzero) digits is 25, while the sum is 13.

The spelling of 100105500001 in words is "one hundred billion, one hundred five million, five hundred thousand, one".