102838656 has 128 divisors (see below), whose sum is σ = 289059840. Its totient is φ = 32348160.

The previous prime is 102838649. The next prime is 102838667. The reversal of 102838656 is 656838201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 630831 + ... + 630993.

It is an arithmetic number, because the mean of its divisors is an integer number (2258280).

Almost surely, 2^102838656 is an apocalyptic number.

102838656 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 102838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144529920).

102838656 is an abundant number, since it is smaller than the sum of its proper divisors (186221184).

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

102838656 is a wasteful number, since it uses less digits than its factorization.

102838656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 102838656 is about 10140.9396014373. The cubic root of 102838656 is about 468.5099270574.

The spelling of 102838656 in words is "one hundred two million, eight hundred thirty-eight thousand, six hundred fifty-six".