102288440 has 64 divisors (see below), whose sum is σ = 238563360. Its totient is φ = 39444480.

The previous prime is 102288427. The next prime is 102288479. The reversal of 102288440 is 44882201.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158759 + ... + 159401.

Almost surely, 2^102288440 is an apocalyptic number.

102288440 is a gapful number since it is divisible by the number (10) 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 102288440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119281680).

102288440 is an abundant number, since it is smaller than the sum of its proper divisors (136274920).

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

102288440 is a wasteful number, since it uses less digits than its factorization.

102288440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 102288440 is about 10113.7747651409. The cubic root of 102288440 is about 467.6728787642.

The spelling of 102288440 in words is "one hundred two million, two hundred eighty-eight thousand, four hundred forty".