103114368 has 192 divisors, whose sum is σ = 357489600. Its totient is φ = 27869184.

The previous prime is 103114357. The next prime is 103114369. The reversal of 103114368 is 863411301.

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

It is not an unprimeable number, because it can be changed into a prime (103114369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152880 + ... + 153552.

It is an arithmetic number, because the mean of its divisors is an integer number (1861925).

Almost surely, 2^103114368 is an apocalyptic number.

103114368 is a gapful number since it is divisible by the number (18) 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 103114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178744800).

103114368 is an abundant number, since it is smaller than the sum of its proper divisors (254375232).

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

103114368 is a wasteful number, since it uses less digits than its factorization.

103114368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103114368 is about 10154.5245088089. The cubic root of 103114368 is about 468.9282475174.

Adding to 103114368 its reverse (863411301), we get a palindrome (966525669).

The spelling of 103114368 in words is "one hundred three million, one hundred fourteen thousand, three hundred sixty-eight".