102822048 has 144 divisors (see below), whose sum is σ = 346731840. Its totient is φ = 29362176.

The previous prime is 102822047. The next prime is 102822127. The reversal of 102822048 is 840228201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102822043) 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, 53488 + ... + 55376.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2^102822048 is an apocalyptic number.

102822048 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 102822048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

102822048 is an abundant number, since it is smaller than the sum of its proper divisors (243909792).

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

102822048 is an equidigital number, since it uses as much as digits as its factorization.

102822048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 102822048 is about 10140.1207093407. The cubic root of 102822048 is about 468.4847049212.

The spelling of 102822048 in words is "one hundred two million, eight hundred twenty-two thousand, forty-eight".