100082970 has 96 divisors (see below), whose sum is σ = 283085712. Its totient is φ = 24385536.

The previous prime is 100082929. The next prime is 100082971. The reversal of 100082970 is 79280001.

It can be written as a sum of positive squares in 8 ways, for example, as 6245001 + 93837969 = 2499^2 + 9687^2 .

It is not an unprimeable number, because it can be changed into a prime (100082971) 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, 131832 + ... + 132588.

Almost surely, 2^100082970 is an apocalyptic number.

100082970 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 100082970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141542856).

100082970 is an abundant number, since it is smaller than the sum of its proper divisors (183002742).

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

100082970 is a wasteful number, since it uses less digits than its factorization.

100082970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 100082970 is about 10004.1476398542. The cubic root of 100082970 is about 464.2872187497.

The spelling of 100082970 in words is "one hundred million, eighty-two thousand, nine hundred seventy".