100330880296416 has 1152 divisors, whose sum is σ = 343665663667200. Its totient is φ = 25069879296000.

The previous prime is 100330880296393. The next prime is 100330880296463. The reversal of 100330880296416 is 614692088033001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145196642631 + ... + 145196643321.

It is an arithmetic number, because the mean of its divisors is an integer number (298320888600).

Almost surely, 2^{100330880296416} is an apocalyptic number.

100330880296416 is a gapful number since it is divisible by the number (16) 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 100330880296416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171832831833600).

100330880296416 is an abundant number, since it is smaller than the sum of its proper divisors (243334783370784).

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

100330880296416 is a wasteful number, since it uses less digits than its factorization.

100330880296416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 100330880296416 in words is "one hundred trillion, three hundred thirty billion, eight hundred eighty million, two hundred ninety-six thousand, four hundred sixteen".