100188420400 has 120 divisors (see below), whose sum is σ = 243411674624. Its totient is φ = 39626496000.

The previous prime is 100188420377. The next prime is 100188420403. The reversal of 100188420400 is 4024881001.

It is not an unprimeable number, because it can be changed into a prime (100188420403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15897250 + ... + 15903550.

Almost surely, 2^100188420400 is an apocalyptic number.

100188420400 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 100188420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121705837312).

100188420400 is an abundant number, since it is smaller than the sum of its proper divisors (143223254224).

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

100188420400 is a wasteful number, since it uses less digits than its factorization.

100188420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6759 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 100188420400 in words is "one hundred billion, one hundred eighty-eight million, four hundred twenty thousand, four hundred".