102315440 has 80 divisors (see below), whose sum is σ = 247082400. Its totient is φ = 39376896.

The previous prime is 102315439. The next prime is 102315443. The reversal of 102315440 is 44513201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (102315443) 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, 249956 + ... + 250364.

It is an arithmetic number, because the mean of its divisors is an integer number (3088530).

Almost surely, 2^102315440 is an apocalyptic number.

102315440 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 102315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123541200).

102315440 is an abundant number, since it is smaller than the sum of its proper divisors (144766960).

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

102315440 is a wasteful number, since it uses less digits than its factorization.

102315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 102315440 is about 10115.1094902626. The cubic root of 102315440 is about 467.7140240356.

Adding to 102315440 its reverse (44513201), we get a palindrome (146828641).

The spelling of 102315440 in words is "one hundred two million, three hundred fifteen thousand, four hundred forty".