100778716512 has 48 divisors (see below), whose sum is σ = 293937925680. Its totient is φ = 33592905216.

The previous prime is 100778716471. The next prime is 100778716531. The reversal of 100778716512 is 215617877001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×100778716512² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 58320153 + ... + 58321880.

It is an arithmetic number, because the mean of its divisors is an integer number (6123706785).

Almost surely, 2^100778716512 is an apocalyptic number.

100778716512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100778716512 is an abundant number, since it is smaller than the sum of its proper divisors (193159209168).

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

100778716512 is a wasteful number, since it uses less digits than its factorization.

100778716512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116642052 (or 116642038 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 100778716512 in words is "one hundred billion, seven hundred seventy-eight million, seven hundred sixteen thousand, five hundred twelve".