100828364 has 96 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 37013760.

The previous prime is 100828339. The next prime is 100828393. The reversal of 100828364 is 463828001.

It is a self number, because there is not a number n which added to its sum of digits gives 100828364.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421757 + ... + 421995.

It is an arithmetic number, because the mean of its divisors is an integer number (2430400).

Almost surely, 2^100828364 is an apocalyptic number.

100828364 is a gapful number since it is divisible by the number (14) 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 100828364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

100828364 is an abundant number, since it is smaller than the sum of its proper divisors (132490036).

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

100828364 is a wasteful number, since it uses less digits than its factorization.

100828364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 100828364 is about 10041.3327800646. The cubic root of 100828364 is about 465.4370023693.

The spelling of 100828364 in words is "one hundred million, eight hundred twenty-eight thousand, three hundred sixty-four".