100830884 has 48 divisors (see below), whose sum is σ = 220993920. Its totient is φ = 39106560.

The previous prime is 100830871. The next prime is 100830887. The reversal of 100830884 is 488038001.

It is a self number, because there is not a number n which added to its sum of digits gives 100830884.

It is not an unprimeable number, because it can be changed into a prime (100830887) 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, 82244 + ... + 83460.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 2^100830884 is an apocalyptic number.

100830884 is a gapful number since it is divisible by the number (14) 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 100830884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110496960).

100830884 is an abundant number, since it is smaller than the sum of its proper divisors (120163036).

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

100830884 is a wasteful number, since it uses less digits than its factorization.

100830884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 100830884 is about 10041.4582606313. The cubic root of 100830884 is about 465.4408798876.

Adding to 100830884 its reverse (488038001), we get a palindrome (588868885).

The spelling of 100830884 in words is "one hundred million, eight hundred thirty thousand, eight hundred eighty-four".