100382480 has 80 divisors (see below), whose sum is σ = 261572544. Its totient is φ = 35504640.

The previous prime is 100382479. The next prime is 100382489. The reversal of 100382480 is 84283001.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (100382489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31019 + ... + 34101.

Almost surely, 2^100382480 is an apocalyptic number.

100382480 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 100382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130786272).

100382480 is an abundant number, since it is smaller than the sum of its proper divisors (161190064).

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

100382480 is a wasteful number, since it uses less digits than its factorization.

100382480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 100382480 is about 10019.1057485187. The cubic root of 100382480 is about 464.7499021233.

The spelling of 100382480 in words is "one hundred million, three hundred eighty-two thousand, four hundred eighty".