100505457142320 has 320 divisors, whose sum is σ = 322733463736320. Its totient is φ = 25847017574400.

The previous prime is 100505457142309. The next prime is 100505457142379. The reversal of 100505457142320 is 23241754505001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3222449286 + ... + 3222480474.

It is an arithmetic number, because the mean of its divisors is an integer number (1008542074176).

Almost surely, 2^{100505457142320} is an apocalyptic number.

100505457142320 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 100505457142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161366731868160).

100505457142320 is an abundant number, since it is smaller than the sum of its proper divisors (222228006594000).

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

100505457142320 is a wasteful number, since it uses less digits than its factorization.

100505457142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32724 (or 32718 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 100505457142320 in words is "one hundred trillion, five hundred five billion, four hundred fifty-seven million, one hundred forty-two thousand, three hundred twenty".