102828096 has 112 divisors (see below), whose sum is σ = 345521280. Its totient is φ = 29376000.

The previous prime is 102828073. The next prime is 102828137. The reversal of 102828096 is 690828201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102828096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7846 + ... + 16346.

Almost surely, 2^102828096 is an apocalyptic number.

102828096 is a gapful number since it is divisible by the number (16) 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 102828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172760640).

102828096 is an abundant number, since it is smaller than the sum of its proper divisors (242693184).

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

102828096 is an equidigital number, since it uses as much as digits as its factorization.

102828096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8529 (or 8513 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 102828096 is about 10140.4189262574. The cubic root of 102828096 is about 468.4938901754.

The spelling of 102828096 in words is "one hundred two million, eight hundred twenty-eight thousand, ninety-six".