102289824 has 192 divisors, whose sum is σ = 367476480. Its totient is φ = 26956800.

The previous prime is 102289823. The next prime is 102289897. The reversal of 102289824 is 428982201.

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 (102289823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77974 + ... + 79274.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 2^102289824 is an apocalyptic number.

102289824 is a gapful number since it is divisible by the number (14) 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 102289824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

102289824 is an abundant number, since it is smaller than the sum of its proper divisors (265186656).

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

102289824 is a wasteful number, since it uses less digits than its factorization.

102289824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 102289824 is about 10113.8431864450. The cubic root of 102289824 is about 467.6749880164.

The spelling of 102289824 in words is "one hundred two million, two hundred eighty-nine thousand, eight hundred twenty-four".