100506105510006 has 32 divisors (see below), whose sum is σ = 230044236065280. Its totient is φ = 28676530783296.

The previous prime is 100506105509977. The next prime is 100506105510007. The reversal of 100506105510006 is 600015501605001.

It is a super-2 number, since 2×100506105510006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100506105510007) 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, 1645775871 + ... + 1645836938.

It is an arithmetic number, because the mean of its divisors is an integer number (7188882377040).

Almost surely, 2^{100506105510006} is an apocalyptic number.

100506105510006 is an abundant number, since it is smaller than the sum of its proper divisors (129538130555274).

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

100506105510006 is a wasteful number, since it uses less digits than its factorization.

100506105510006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291613548.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 100506105510006 in words is "one hundred trillion, five hundred six billion, one hundred five million, five hundred ten thousand, six".