103514112 has 192 divisors, whose sum is σ = 333966360. Its totient is φ = 31850496.

The previous prime is 103514111. The next prime is 103514119. The reversal of 103514112 is 211415301.

It is a tau number, because it is divible by the number of its divisors (192).

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 (103514111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7962618 + ... + 7962630.

Almost surely, 2^103514112 is an apocalyptic number.

103514112 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 103514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166983180).

103514112 is an abundant number, since it is smaller than the sum of its proper divisors (230452248).

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

103514112 is an frugal number, since it uses more digits than its factorization.

103514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 103514112 is about 10174.1885180097. The cubic root of 103514112 is about 469.5334316648.

Adding to 103514112 its reverse (211415301), we get a palindrome (314929413).

The spelling of 103514112 in words is "one hundred three million, five hundred fourteen thousand, one hundred twelve".