100904916667 has 8 divisors (see below), whose sum is σ = 103302270720. Its totient is φ = 98509868520.

The previous prime is 100904916617. The next prime is 100904916713. The reversal of 100904916667 is 766619409001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100904916667 - 2²³ = 100896528059 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100904916667.

It is not an unprimeable number, because it can be changed into a prime (100904916617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487759 + ... + 663112.

It is an arithmetic number, because the mean of its divisors is an integer number (12912783840).

Almost surely, 2^100904916667 is an apocalyptic number.

100904916667 is a deficient number, since it is larger than the sum of its proper divisors (2397354053).

100904916667 is a wasteful number, since it uses less digits than its factorization.

100904916667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152953.

The product of its (nonzero) digits is 489888, while the sum is 49.

The spelling of 100904916667 in words is "one hundred billion, nine hundred four million, nine hundred sixteen thousand, six hundred sixty-seven".