1000106105007 has 16 divisors (see below), whose sum is σ = 1334636707712. Its totient is φ = 666156687840.

The previous prime is 1000106104993. The next prime is 1000106105027. The reversal of 1000106105007 is 7005016010001.

It is not a de Polignac number, because 1000106105007 - 2²⁴ = 1000089327791 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000106105027) 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, 18688893 + ... + 18742329.

It is an arithmetic number, because the mean of its divisors is an integer number (83414794232).

Almost surely, 2^{1000106105007} is an apocalyptic number.

1000106105007 is a deficient number, since it is larger than the sum of its proper divisors (334530602705).

1000106105007 is a wasteful number, since it uses less digits than its factorization.

1000106105007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58758.

The product of its (nonzero) digits is 210, while the sum is 21.

The spelling of 1000106105007 in words is "one trillion, one hundred six million, one hundred five thousand, seven".