102838848 has 168 divisors, whose sum is σ = 335657952. Its totient is φ = 27611136.

The previous prime is 102838847. The next prime is 102838859. The reversal of 102838848 is 848838201.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (102838847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159615 + ... + 160257.

It is an arithmetic number, because the mean of its divisors is an integer number (1997964).

Almost surely, 2^102838848 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 102838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167828976).

102838848 is an abundant number, since it is smaller than the sum of its proper divisors (232819104).

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

102838848 is a wasteful number, since it uses less digits than its factorization.

102838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 102838848 is about 10140.9490680113. The cubic root of 102838848 is about 468.5102186269.

The spelling of 102838848 in words is "one hundred two million, eight hundred thirty-eight thousand, eight hundred forty-eight".