103124 has 24 divisors (see below), whose sum is σ = 215040. Its totient is φ = 42336.

The previous prime is 103123. The next prime is 103141. The reversal of 103124 is 421301.

It is a happy number.

It is a plaindrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 103124.

It is not an unprimeable number, because it can be changed into a prime (103123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (8960).

2^{103124} is an apocalyptic number.

103124 is a gapful number since it is divisible by the number (14) 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 103124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520).

103124 is an abundant number, since it is smaller than the sum of its proper divisors (111916).

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

103124 is a wasteful number, since it uses less digits than its factorization.

103124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 103124 is about 321.1292574650. The cubic root of 103124 is about 46.8942848057.

Adding to 103124 its reverse (421301), we get a palindrome (524425).

The spelling of 103124 in words is "one hundred three thousand, one hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 7 14 28 29 58 116 127 203 254 406 508 812 889 1778 3556 3683 7366 14732 25781 51562 103124

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