103136 has 24 divisors (see below), whose sum is σ = 222264. Its totient is φ = 46720.

The previous prime is 103123. The next prime is 103141. The reversal of 103136 is 631301.

It is a self number, because there is not a number n which added to its sum of digits gives 103136.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 206 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (9261).

2¹⁰³¹³⁶ is an apocalyptic number.

103136 is a gapful number since it is divisible by the number (16) 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 103136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111132).

103136 is an abundant number, since it is smaller than the sum of its proper divisors (119128).

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

103136 is a wasteful number, since it uses less digits than its factorization.

103136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 103136 is about 321.1479409867. The cubic root of 103136 is about 46.8961036826.

Adding to 103136 its reverse (631301), we get a palindrome (734437).

The spelling of 103136 in words is "one hundred three thousand, one hundred thirty-six".