103107312 has 240 divisors, whose sum is σ = 381618432. Its totient is φ = 25159680.

The previous prime is 103107311. The next prime is 103107341. The reversal of 103107312 is 213701301.

It is a super-2 number, since 2×103107312² = 21262235575730688, which contains 22 as substring.

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 (103107311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188223 + ... + 188769.

Almost surely, 2^103107312 is an apocalyptic number.

103107312 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 103107312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190809216).

103107312 is an abundant number, since it is smaller than the sum of its proper divisors (278511120).

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

103107312 is a wasteful number, since it uses less digits than its factorization.

103107312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 103107312 is about 10154.1770715307. The cubic root of 103107312 is about 468.9175511963.

Adding to 103107312 its reverse (213701301), we get a palindrome (316808613).

The spelling of 103107312 in words is "one hundred three million, one hundred seven thousand, three hundred twelve".