100010180 has 24 divisors (see below), whose sum is σ = 210903000. Its totient is φ = 39836160.

The previous prime is 100010179. The next prime is 100010189. The reversal of 100010180 is 81010001.

It can be written as a sum of positive squares in 4 ways, for example, as 2079364 + 97930816 = 1442^2 + 9896^2 .

It is a super-2 number, since 2×100010180² = 20004072207264800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100010189) 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, 5555 + ... + 15194.

It is an arithmetic number, because the mean of its divisors is an integer number (8787625).

Almost surely, 2^100010180 is an apocalyptic number.

100010180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010180 is an abundant number, since it is smaller than the sum of its proper divisors (110892820).

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

100010180 is a wasteful number, since it uses less digits than its factorization.

100010180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20999 (or 20997 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 100010180 is about 10000.5089870466. The cubic root of 100010180 is about 464.1746332850.

Adding to 100010180 its reverse (81010001), we get a palindrome (181020181).

The spelling of 100010180 in words is "one hundred million, ten thousand, one hundred eighty".