100082952 has 84 divisors (see below), whose sum is σ = 283518735. Its totient is φ = 33106320.

The previous prime is 100082929. The next prime is 100082971. The reversal of 100082952 is 259280001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 50041476 + 50041476 = 7074^2 + 7074^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7074.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 763927 + ... + 764057.

Almost surely, 2^100082952 is an apocalyptic number.

100082952 is a gapful number since it is divisible by the number (12) 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 100082952

100082952 is an abundant number, since it is smaller than the sum of its proper divisors (183435783).

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

100082952 is an frugal number, since it uses more digits than its factorization.

100082952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100082952 is about 10004.1467402273. The cubic root of 100082952 is about 464.2871909156.

The spelling of 100082952 in words is "one hundred million, eighty-two thousand, nine hundred fifty-two".