100337982994480 has 480 divisors, whose sum is σ = 305886274025472. Its totient is φ = 29905471918080.

The previous prime is 100337982994451. The next prime is 100337982994499. The reversal of 100337982994480 is 84499289733001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6696781069 + ... + 6696796051.

Almost surely, 2^{100337982994480} is an apocalyptic number.

100337982994480 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 100337982994480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152943137012736).

100337982994480 is an abundant number, since it is smaller than the sum of its proper divisors (205548291030992).

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

100337982994480 is a wasteful number, since it uses less digits than its factorization.

100337982994480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19345 (or 19328 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 67.

The spelling of 100337982994480 in words is "one hundred trillion, three hundred thirty-seven billion, nine hundred eighty-two million, nine hundred ninety-four thousand, four hundred eighty".