100352790216000 has 2240 divisors, whose sum is σ = 451112963558400. Its totient is φ = 21525328281600.

The previous prime is 100352790215989. The next prime is 100352790216061. The reversal of 100352790216000 is 612097253001.

100352790216000 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 5 + 27 + 9 + 0 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5529374926 + ... + 5529393074.

Almost surely, 2^{100352790216000} is an apocalyptic number.

100352790216000 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 100352790216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225556481779200).

100352790216000 is an abundant number, since it is smaller than the sum of its proper divisors (350760173342400).

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

100352790216000 is a wasteful number, since it uses less digits than its factorization.

100352790216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18271 (or 18242 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 100352790216000 in words is "one hundred trillion, three hundred fifty-two billion, seven hundred ninety million, two hundred sixteen thousand".