100641190496 has 192 divisors, whose sum is σ = 257128058880. Its totient is φ = 37942502400.

The previous prime is 100641190483. The next prime is 100641190523. The reversal of 100641190496 is 694091146001.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9237020 + ... + 9247908.

It is an arithmetic number, because the mean of its divisors is an integer number (1339208640).

Almost surely, 2^100641190496 is an apocalyptic number.

100641190496 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 100641190496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128564029440).

100641190496 is an abundant number, since it is smaller than the sum of its proper divisors (156486868384).

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

100641190496 is a wasteful number, since it uses less digits than its factorization.

100641190496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10970 (or 10940 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 100641190496 in words is "one hundred billion, six hundred forty-one million, one hundred ninety thousand, four hundred ninety-six".