100626887816 has 128 divisors (see below), whose sum is σ = 237780506880. Its totient is φ = 38865125376.

The previous prime is 100626887743. The next prime is 100626887819. The reversal of 100626887816 is 618788626001.

It is not an unprimeable number, because it can be changed into a prime (100626887819) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5502560 + ... + 5520816.

It is an arithmetic number, because the mean of its divisors is an integer number (1857660210).

Almost surely, 2^100626887816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100626887816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118890253440).

100626887816 is an abundant number, since it is smaller than the sum of its proper divisors (137153619064).

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

100626887816 is a wasteful number, since it uses less digits than its factorization.

100626887816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18463 (or 18459 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 53.

The spelling of 100626887816 in words is "one hundred billion, six hundred twenty-six million, eight hundred eighty-seven thousand, eight hundred sixteen".