100392021408 has 384 divisors, whose sum is σ = 340909793280. Its totient is φ = 25189908480.

The previous prime is 100392021397. The next prime is 100392021413. The reversal of 100392021408 is 804120293001.

It is a Cunningham number, because it is equal to 316847²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10768173 + ... + 10777491.

It is an arithmetic number, because the mean of its divisors is an integer number (887785920).

Almost surely, 2^100392021408 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 100392021408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170454896640).

100392021408 is an abundant number, since it is smaller than the sum of its proper divisors (240517771872).

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

100392021408 is a wasteful number, since it uses less digits than its factorization.

100392021408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9420 (or 9412 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 100392021408 in words is "one hundred billion, three hundred ninety-two million, twenty-one thousand, four hundred eight".