102314240 has 144 divisors (see below), whose sum is σ = 295317120. Its totient is φ = 33177600.

The previous prime is 102314239. The next prime is 102314249. The reversal of 102314240 is 42413201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102314249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169940 + ... + 170540.

Almost surely, 2^102314240 is an apocalyptic number.

102314240 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 102314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147658560).

102314240 is an abundant number, since it is smaller than the sum of its proper divisors (193002880).

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

102314240 is an equidigital number, since it uses as much as digits as its factorization.

102314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 102314240 is about 10115.0501728859. The cubic root of 102314240 is about 467.7121955106.

Adding to 102314240 its reverse (42413201), we get a palindrome (144727441).

The spelling of 102314240 in words is "one hundred two million, three hundred fourteen thousand, two hundred forty".