100380160 has 80 divisors (see below), whose sum is σ = 243506736. Its totient is φ = 39682048.

The previous prime is 100380143. The next prime is 100380167. The reversal of 100380160 is 61083001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100380167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289107 + ... + 289453.

Almost surely, 2^100380160 is an apocalyptic number.

100380160 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 100380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121753368).

100380160 is an abundant number, since it is smaller than the sum of its proper divisors (143126576).

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

100380160 is an equidigital number, since it uses as much as digits as its factorization.

100380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 100380160 is about 10018.9899690538. The cubic root of 100380160 is about 464.7463217241.

The spelling of 100380160 in words is "one hundred million, three hundred eighty thousand, one hundred sixty".