100530180 has 192 divisors, whose sum is σ = 339655680. Its totient is φ = 24588288.

The previous prime is 100530167. The next prime is 100530191. The reversal of 100530180 is 81035001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 431344 + ... + 431576.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^100530180 is an apocalyptic number.

100530180 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 100530180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

100530180 is an abundant number, since it is smaller than the sum of its proper divisors (239125500).

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

100530180 is a wasteful number, since it uses less digits than its factorization.

100530180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100530180 is about 10026.4739564814. The cubic root of 100530180 is about 464.9777304632.

Adding to 100530180 its reverse (81035001), we get a palindrome (181565181).

The spelling of 100530180 in words is "one hundred million, five hundred thirty thousand, one hundred eighty".