100090412097408 has 320 divisors, whose sum is σ = 302501436589440. Its totient is φ = 32845792896000.

The previous prime is 100090412097349. The next prime is 100090412097461. The reversal of 100090412097408 is 804790214090001.

It is a happy number.

100090412097408 is a `hidden beast` number, since 10 + 0 + 0 + 90 + 41 + 20 + 97 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 508566063 + ... + 508762833.

It is an arithmetic number, because the mean of its divisors is an integer number (945316989342).

Almost surely, 2^{100090412097408} is an apocalyptic number.

100090412097408 is a gapful number since it is divisible by the number (18) 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 100090412097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151250718294720).

100090412097408 is an abundant number, since it is smaller than the sum of its proper divisors (202411024492032).

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

100090412097408 is an equidigital number, since it uses as much as digits as its factorization.

100090412097408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197559 (or 197538 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 100090412097408 in words is "one hundred trillion, ninety billion, four hundred twelve million, ninety-seven thousand, four hundred eight".