100109191820 has 96 divisors (see below), whose sum is σ = 237313359360. Its totient is φ = 35156943360.

The previous prime is 100109191799. The next prime is 100109191829. The reversal of 100109191820 is 28191901001.

It is not an unprimeable number, because it can be changed into a prime (100109191829) 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, 782489 + ... + 901391.

It is an arithmetic number, because the mean of its divisors is an integer number (2472014160).

Almost surely, 2^100109191820 is an apocalyptic number.

100109191820 is a gapful number since it is divisible by the number (10) 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 100109191820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118656679680).

100109191820 is an abundant number, since it is smaller than the sum of its proper divisors (137204167540).

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

100109191820 is a wasteful number, since it uses less digits than its factorization.

100109191820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119055 (or 119053 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 100109191820 in words is "one hundred billion, one hundred nine million, one hundred ninety-one thousand, eight hundred twenty".