102305440 has 48 divisors (see below), whose sum is σ = 243022248. Its totient is φ = 40697856.

The previous prime is 102305431. The next prime is 102305447. The reversal of 102305440 is 44503201.

It can be written as a sum of positive squares in 4 ways, for example, as 90554256 + 11751184 = 9516^2 + 3428^2 .

It is not an unprimeable number, because it can be changed into a prime (102305447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29224 + ... + 32536.

Almost surely, 2^102305440 is an apocalyptic number.

102305440 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 102305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121511124).

102305440 is an abundant number, since it is smaller than the sum of its proper divisors (140716808).

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

102305440 is a wasteful number, since it uses less digits than its factorization.

102305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 102305440 is about 10114.6151681614. The cubic root of 102305440 is about 467.6987858903.

Adding to 102305440 its reverse (44503201), we get a palindrome (146808641).

The spelling of 102305440 in words is "one hundred two million, three hundred five thousand, four hundred forty".