100480238320 has 320 divisors, whose sum is σ = 300742751232. Its totient is φ = 30311424000.

The previous prime is 100480238311. The next prime is 100480238371. The reversal of 100480238320 is 23832084001.

It is a super-3 number, since 3×100480238320³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33083842 + ... + 33086878.

Almost surely, 2^100480238320 is an apocalyptic number.

100480238320 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 100480238320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150371375616).

100480238320 is an abundant number, since it is smaller than the sum of its proper divisors (200262512912).

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

100480238320 is a wasteful number, since it uses less digits than its factorization.

100480238320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 100480238320 in words is "one hundred billion, four hundred eighty million, two hundred thirty-eight thousand, three hundred twenty".