100772107605 has 48 divisors (see below), whose sum is σ = 188676598656. Its totient is φ = 49460906880.

The previous prime is 100772107571. The next prime is 100772107633. The reversal of 100772107605 is 506701277001.

It is not a de Polignac number, because 100772107605 - 2¹⁰ = 100772106581 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100772107605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66577 + ... + 453846.

It is an arithmetic number, because the mean of its divisors is an integer number (3930762472).

Almost surely, 2^100772107605 is an apocalyptic number.

100772107605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100772107605 is a deficient number, since it is larger than the sum of its proper divisors (87904491051).

100772107605 is a wasteful number, since it uses less digits than its factorization.

100772107605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520778 (or 520775 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 100772107605 in words is "one hundred billion, seven hundred seventy-two million, one hundred seven thousand, six hundred five".