102305140 has 36 divisors (see below), whose sum is σ = 249919236. Its totient is φ = 35075712.

The previous prime is 102305089. The next prime is 102305141. The reversal of 102305140 is 41503201.

It can be written as a sum of positive squares in 2 ways, for example, as 79780624 + 22524516 = 8932^2 + 4746^2 .

It is a super-3 number, since 3×102305140³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102305141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51217 + ... + 53176.

It is an arithmetic number, because the mean of its divisors is an integer number (6942201).

Almost surely, 2^102305140 is an apocalyptic number.

102305140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102305140 is an abundant number, since it is smaller than the sum of its proper divisors (147614096).

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

102305140 is a wasteful number, since it uses less digits than its factorization.

102305140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104416 (or 104407 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 102305140 is about 10114.6003381251. The cubic root of 102305140 is about 467.6983287306.

Adding to 102305140 its reverse (41503201), we get a palindrome (143808341).

The spelling of 102305140 in words is "one hundred two million, three hundred five thousand, one hundred forty".