103688319 has 16 divisors (see below), whose sum is σ = 162272768. Its totient is φ = 57648672.

The previous prime is 103688309. The next prime is 103688323. The reversal of 103688319 is 913886301.

It is a de Polignac number, because none of the positive numbers 2^k-103688319 is a prime.

It is a super-2 number, since 2×103688319² = 21502534994091522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103688309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65947 + ... + 67500.

It is an arithmetic number, because the mean of its divisors is an integer number (10142048).

Almost surely, 2^103688319 is an apocalyptic number.

103688319 is a deficient number, since it is larger than the sum of its proper divisors (58584449).

103688319 is a wasteful number, since it uses less digits than its factorization.

103688319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133494.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 103688319 is about 10182.7461423724. The cubic root of 103688319 is about 469.7966813357.

The spelling of 103688319 in words is "one hundred three million, six hundred eighty-eight thousand, three hundred nineteen".