100082928 has 160 divisors (see below), whose sum is σ = 298552320. Its totient is φ = 28615680.

The previous prime is 100082897. The next prime is 100082929. The reversal of 100082928 is 829280001.

It is a junction number, because it is equal to n+sod(n) for n = 100082895 and 100082904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100082929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918138 + ... + 918246.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 2^100082928 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 100082928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

100082928 is an abundant number, since it is smaller than the sum of its proper divisors (198469392).

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

100082928 is a wasteful number, since it uses less digits than its factorization.

100082928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 100082928 is about 10004.1455407246. The cubic root of 100082928 is about 464.2871538034.

The spelling of 100082928 in words is "one hundred million, eighty-two thousand, nine hundred twenty-eight".