103640 has 16 divisors (see below), whose sum is σ = 233280. Its totient is φ = 41440.

The previous prime is 103619. The next prime is 103643. The reversal of 103640 is 46301.

It is a super-3 number, since 3×103640³ = 3339669325632000, which contains 333 as substring.

It is a plaindrome in base 14.

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 103640.

It is not an unprimeable number, because it can be changed into a prime (103643) by changing a digit.

103640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1256 + ... + 1335.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2¹⁰³⁶⁴⁰ is an apocalyptic number.

103640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103640 is an abundant number, since it is smaller than the sum of its proper divisors (129640).

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

103640 is a wasteful number, since it uses less digits than its factorization.

103640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103640 is about 321.9316697686. The cubic root of 103640 is about 46.9723694545.

Adding to 103640 its reverse (46301), we get a palindrome (149941).

The spelling of 103640 in words is "one hundred three thousand, six hundred forty".