102838144 has 32 divisors (see below), whose sum is σ = 206470440. Its totient is φ = 51018240.

The previous prime is 102838111. The next prime is 102838157. The reversal of 102838144 is 441838201.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×102838144² = 21151367722729472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13702 + ... + 19834.

Almost surely, 2^102838144 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 102838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103235220).

102838144 is an abundant number, since it is smaller than the sum of its proper divisors (103632296).

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

102838144 is an equidigital number, since it uses as much as digits as its factorization.

102838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 102838144 is about 10140.9143571968. The cubic root of 102838144 is about 468.5091495369.

The spelling of 102838144 in words is "one hundred two million, eight hundred thirty-eight thousand, one hundred forty-four".