100082944 has 144 divisors (see below), whose sum is σ = 239515920. Its totient is φ = 41287680.

The previous prime is 100082929. The next prime is 100082971. The reversal of 100082944 is 449280001.

It can be written as a sum of positive squares in 8 ways, for example, as 10969344 + 89113600 = 3312^2 + 9440^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640674 + ... + 1640734.

It is an arithmetic number, because the mean of its divisors is an integer number (1663305).

Almost surely, 2^100082944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119757960).

100082944 is an abundant number, since it is smaller than the sum of its proper divisors (139432976).

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

100082944 is a wasteful number, since it uses less digits than its factorization.

100082944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 100082944 is about 10004.1463403931. The cubic root of 100082944 is about 464.2871785448.

The spelling of 100082944 in words is "one hundred million, eighty-two thousand, nine hundred forty-four".