100505706001 has 12 divisors (see below), whose sum is σ = 107302148800. Its totient is φ = 94118207040.

The previous prime is 100505705977. The next prime is 100505706013. The reversal of 100505706001 is 100607505001.

It is not a de Polignac number, because 100505706001 - 2²⁹ = 99968835089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100505706401) 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, 816285 + ... + 931306.

Almost surely, 2^100505706001 is an apocalyptic number.

It is an amenable number.

100505706001 is a deficient number, since it is larger than the sum of its proper divisors (6796442799).

100505706001 is a wasteful number, since it uses less digits than its factorization.

100505706001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747824 (or 1747807 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The spelling of 100505706001 in words is "one hundred billion, five hundred five million, seven hundred six thousand, one".