102838272 has 52 divisors (see below), whose sum is σ = 274234680. Its totient is φ = 34275328.

The previous prime is 102838259. The next prime is 102838273. The reversal of 102838272 is 272838201.

It is not an unprimeable number, because it can be changed into a prime (102838273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8104 + ... + 16472.

Almost surely, 2^102838272 is an apocalyptic number.

102838272 is a gapful number since it is divisible by the number (12) 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 102838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137117340).

102838272 is an abundant number, since it is smaller than the sum of its proper divisors (171396408).

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

102838272 is an frugal number, since it uses more digits than its factorization.

102838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 102838272 is about 10140.9206682628. The cubic root of 102838272 is about 468.5093439173.

The spelling of 102838272 in words is "one hundred two million, eight hundred thirty-eight thousand, two hundred seventy-two".