100188700920 has 768 divisors, whose sum is σ = 416103367680. Its totient is φ = 20304691200.

The previous prime is 100188700867. The next prime is 100188701009. The reversal of 100188700920 is 29007881001.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 326347407 + ... + 326347713.

It is an arithmetic number, because the mean of its divisors is an integer number (541801260).

Almost surely, 2^100188700920 is an apocalyptic number.

100188700920 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 100188700920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208051683840).

100188700920 is an abundant number, since it is smaller than the sum of its proper divisors (315914666760).

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

100188700920 is a wasteful number, since it uses less digits than its factorization.

100188700920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

It can be divided in two parts, 100188 and 700920, that added together give a palindrome (801108).

The spelling of 100188700920 in words is "one hundred billion, one hundred eighty-eight million, seven hundred thousand, nine hundred twenty".