102834688 has 120 divisors (see below), whose sum is σ = 243801360. Its totient is φ = 42854400.

The previous prime is 102834661. The next prime is 102834689. The reversal of 102834688 is 886438201.

It is a self number, because there is not a number n which added to its sum of digits gives 102834688.

It is not an unprimeable number, because it can be changed into a prime (102834689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3317233 + ... + 3317263.

It is an arithmetic number, because the mean of its divisors is an integer number (2031678).

Almost surely, 2^102834688 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 102834688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121900680).

102834688 is an abundant number, since it is smaller than the sum of its proper divisors (140966672).

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

102834688 is an equidigital number, since it uses as much as digits as its factorization.

102834688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 102834688 is about 10140.7439569294. The cubic root of 102834688 is about 468.5039012062.

The spelling of 102834688 in words is "one hundred two million, eight hundred thirty-four thousand, six hundred eighty-eight".