103140312 has 64 divisors (see below), whose sum is σ = 288921600. Its totient is φ = 30407040.

The previous prime is 103140293. The next prime is 103140329. The reversal of 103140312 is 213041301.

It is a junction number, because it is equal to n+sod(n) for n = 103140291 and 103140300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4489 + ... + 15047.

It is an arithmetic number, because the mean of its divisors is an integer number (4514400).

Almost surely, 2^103140312 is an apocalyptic number.

103140312 is a gapful number since it is divisible by the number (12) 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 103140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144460800).

103140312 is an abundant number, since it is smaller than the sum of its proper divisors (185781288).

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

103140312 is a wasteful number, since it uses less digits than its factorization.

103140312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10616 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 103140312 is about 10155.8018885758. The cubic root of 103140312 is about 468.9675723128.

Adding to 103140312 its reverse (213041301), we get a palindrome (316181613).

The spelling of 103140312 in words is "one hundred three million, one hundred forty thousand, three hundred twelve".