102238848 has 192 divisors, whose sum is σ = 323013600. Its totient is φ = 32099328.

The previous prime is 102238847. The next prime is 102238849. The reversal of 102238848 is 848832201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102238847) and next prime (102238849).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102238847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590890 + ... + 591062.

Almost surely, 2^102238848 is an apocalyptic number.

102238848 is a gapful number since it is divisible by the number (18) 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 102238848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161506800).

102238848 is an abundant number, since it is smaller than the sum of its proper divisors (220774752).

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

102238848 is an equidigital number, since it uses as much as digits as its factorization.

102238848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 102238848 is about 10111.3227621316. The cubic root of 102238848 is about 467.5972867013.

The spelling of 102238848 in words is "one hundred two million, two hundred thirty-eight thousand, eight hundred forty-eight".