100832130 has 96 divisors (see below), whose sum is σ = 310003200. Its totient is φ = 22248576.

The previous prime is 100832113. The next prime is 100832131. The reversal of 100832130 is 31238001.

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

It is not an unprimeable number, because it can be changed into a prime (100832131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15511 + ... + 21029.

It is an arithmetic number, because the mean of its divisors is an integer number (3229200).

Almost surely, 2^100832130 is an apocalyptic number.

100832130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100832130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155001600).

100832130 is an abundant number, since it is smaller than the sum of its proper divisors (209171070).

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

100832130 is a wasteful number, since it uses less digits than its factorization.

100832130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100832130 is about 10041.5203032210. The cubic root of 100832130 is about 465.4427970811.

The spelling of 100832130 in words is "one hundred million, eight hundred thirty-two thousand, one hundred thirty".