100082125 has 48 divisors (see below), whose sum is σ = 148140720. Its totient is φ = 67056000.

The previous prime is 100082123. The next prime is 100082141. The reversal of 100082125 is 521280001.

It can be written as a sum of positive squares in 8 ways, for example, as 34892649 + 65189476 = 5907^2 + 8074^2 .

It is not a de Polignac number, because 100082125 - 2¹ = 100082123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100082123) 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, 196371 + ... + 196879.

It is an arithmetic number, because the mean of its divisors is an integer number (3086265).

Almost surely, 2^100082125 is an apocalyptic number.

It is an amenable number.

100082125 is a deficient number, since it is larger than the sum of its proper divisors (48058595).

100082125 is a wasteful number, since it uses less digits than its factorization.

100082125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 100082125 is about 10004.1054072816. The cubic root of 100082125 is about 464.2859120878.

The spelling of 100082125 in words is "one hundred million, eighty-two thousand, one hundred twenty-five".