100305154350240 has 768 divisors, whose sum is σ = 370482829516800. Its totient is φ = 22337569013760.

The previous prime is 100305154350161. The next prime is 100305154350253. The reversal of 100305154350240 is 42053451503001.

It is a super-2 number, since 2×100305154350240² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20235049842 + ... + 20235054798.

It is an arithmetic number, because the mean of its divisors is an integer number (482399517600).

Almost surely, 2^{100305154350240} is an apocalyptic number.

100305154350240 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 100305154350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185241414758400).

100305154350240 is an abundant number, since it is smaller than the sum of its proper divisors (270177675166560).

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

100305154350240 is a wasteful number, since it uses less digits than its factorization.

100305154350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5805 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 100305154350240 in words is "one hundred trillion, three hundred five billion, one hundred fifty-four million, three hundred fifty thousand, two hundred forty".