100106780004 has 144 divisors (see below), whose sum is σ = 318280959360. Its totient is φ = 25771576320.

The previous prime is 100106779979. The next prime is 100106780047. The reversal of 100106780004 is 400087601001.

It is a happy number.

100106780004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100106780004.

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, 153442 + ... + 473030.

It is an arithmetic number, because the mean of its divisors is an integer number (2210284440).

Almost surely, 2^100106780004 is an apocalyptic number.

100106780004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100106780004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159140479680).

100106780004 is an abundant number, since it is smaller than the sum of its proper divisors (218174179356).

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

100106780004 is a wasteful number, since it uses less digits than its factorization.

100106780004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319730 (or 319725 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 100106780004 in words is "one hundred billion, one hundred six million, seven hundred eighty thousand, four".