100091404920 has 256 divisors, whose sum is σ = 347639040000. Its totient is φ = 22844215296.

The previous prime is 100091404799. The next prime is 100091404921. The reversal of 100091404920 is 29404190001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100091404921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1357156 + ... + 1429004.

It is an arithmetic number, because the mean of its divisors is an integer number (1357965000).

Almost surely, 2^100091404920 is an apocalyptic number.

100091404920 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 100091404920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173819520000).

100091404920 is an abundant number, since it is smaller than the sum of its proper divisors (247547635080).

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

100091404920 is a wasteful number, since it uses less digits than its factorization.

100091404920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71942 (or 71938 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 100091404920 its reverse (29404190001), we get a palindrome (129495594921).

The spelling of 100091404920 in words is "one hundred billion, ninety-one million, four hundred four thousand, nine hundred twenty".