100772663922 has 150 divisors (see below), whose sum is σ = 263942523933. Its totient is φ = 28735623504.

The previous prime is 100772663909. The next prime is 100772663941. The reversal of 100772663922 is 229366277001.

100772663922 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 7 + 2 + 6 + 639 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89663714721 + 11108949201 = 299439^2 + 105399^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=224469.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 197981404 + ... + 197981912.

Almost surely, 2^100772663922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100772663922

100772663922 is an abundant number, since it is smaller than the sum of its proper divisors (163169860011).

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

100772663922 is an frugal number, since it uses more digits than its factorization.

100772663922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 100772663922 in words is "one hundred billion, seven hundred seventy-two million, six hundred sixty-three thousand, nine hundred twenty-two".