100182820 has 48 divisors (see below), whose sum is σ = 229118400. Its totient is φ = 36650880.

The previous prime is 100182811. The next prime is 100182821. The reversal of 100182820 is 28281001.

It is a junction number, because it is equal to n+sod(n) for n = 100182791 and 100182800.

It is not an unprimeable number, because it can be changed into a prime (100182821) 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, 6475 + ... + 15565.

It is an arithmetic number, because the mean of its divisors is an integer number (4773300).

Almost surely, 2^100182820 is an apocalyptic number.

100182820 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 100182820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114559200).

100182820 is an abundant number, since it is smaller than the sum of its proper divisors (128935580).

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

100182820 is a wasteful number, since it uses less digits than its factorization.

100182820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9148 (or 9146 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 100182820 is about 10009.1368259206. The cubic root of 100182820 is about 464.4415695857.

The spelling of 100182820 in words is "one hundred million, one hundred eighty-two thousand, eight hundred twenty".