102095728 has 80 divisors (see below), whose sum is σ = 236127744. Its totient is φ = 41852160.

The previous prime is 102095713. The next prime is 102095737. The reversal of 102095728 is 827590201.

It is a junction number, because it is equal to n+sod(n) for n = 102095693 and 102095702.

It is a congruent number.

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, 294051 + ... + 294397.

Almost surely, 2^102095728 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 102095728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118063872).

102095728 is an abundant number, since it is smaller than the sum of its proper divisors (134032016).

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

102095728 is a wasteful number, since it uses less digits than its factorization.

102095728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 102095728 is about 10104.2430691269. The cubic root of 102095728 is about 467.3789946768.

The spelling of 102095728 in words is "one hundred two million, ninety-five thousand, seven hundred twenty-eight".