10001006106 has 64 divisors (see below), whose sum is σ = 24929587200. Its totient is φ = 2604229056.

The previous prime is 10001006077. The next prime is 10001006173. The reversal of 10001006106 is 60160010001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72796 + ... + 159063.

It is an arithmetic number, because the mean of its divisors is an integer number (389524800).

Almost surely, 2^10001006106 is an apocalyptic number.

10001006106 is an abundant number, since it is smaller than the sum of its proper divisors (14928581094).

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

10001006106 is a wasteful number, since it uses less digits than its factorization.

10001006106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231963.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10001006106 its reverse (60160010001), we get a palindrome (70161016107).

The spelling of 10001006106 in words is "ten billion, one million, six thousand, one hundred six".