100490180 has 108 divisors (see below), whose sum is σ = 255741444. Its totient is φ = 33062400.

The previous prime is 100490177. The next prime is 100490237. The reversal of 100490180 is 81094001.

It can be written as a sum of positive squares in 6 ways, for example, as 65254084 + 35236096 = 8078^2 + 5936^2 .

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 35 ways as a sum of consecutive naturals, for example, 1647350 + ... + 1647410.

Almost surely, 2^100490180 is an apocalyptic number.

100490180 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 100490180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127870722).

100490180 is an abundant number, since it is smaller than the sum of its proper divisors (155251264).

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

100490180 is a wasteful number, since it uses less digits than its factorization.

100490180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 100490180 is about 10024.4790388329. The cubic root of 100490180 is about 464.9160522137.

The spelling of 100490180 in words is "one hundred million, four hundred ninety thousand, one hundred eighty".