102314340 has 120 divisors (see below), whose sum is σ = 324007992. Its totient is φ = 27025920.

The previous prime is 102314323. The next prime is 102314341. The reversal of 102314340 is 43413201.

102314340 is a `hidden beast` number, since 1 + 0 + 231 + 434 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 94828644 = 2736^2 + 9738^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102314341) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 221710 + ... + 222170.

Almost surely, 2^102314340 is an apocalyptic number.

102314340 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 102314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162003996).

102314340 is an abundant number, since it is smaller than the sum of its proper divisors (221693652).

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

102314340 is a wasteful number, since it uses less digits than its factorization.

102314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102314340 is about 10115.0551160140. The cubic root of 102314340 is about 467.7123478882.

Adding to 102314340 its reverse (43413201), we get a palindrome (145727541).

The spelling of 102314340 in words is "one hundred two million, three hundred fourteen thousand, three hundred forty".