108840 has 32 divisors (see below), whose sum is σ = 326880. Its totient is φ = 28992.

The previous prime is 108827. The next prime is 108863. The reversal of 108840 is 48801.

Added to its reverse (48801) it gives a triangular number (157641 = T₅₆₁).

108840 = T₁₅₁ + T₁₅₂ + ... + T₁₅₉.

It is a super-2 number, since 2×108840² = 23692291200, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108840.

It is an unprimeable number.

108840 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 334 + ... + 573.

It is an arithmetic number, because the mean of its divisors is an integer number (10215).

2¹⁰⁸⁸⁴⁰ is an apocalyptic number.

108840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108840 is an abundant number, since it is smaller than the sum of its proper divisors (218040).

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

108840 is a wasteful number, since it uses less digits than its factorization.

108840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 108840 is about 329.9090783837. The cubic root of 108840 is about 47.7451773681.

Adding to 108840 its reverse (48801), we get a triangular number (157641 = T₅₆₁).

It can be divided in two parts, 1088 and 40, that added together give a triangular number (1128 = T₄₇).

The spelling of 108840 in words is "one hundred eight thousand, eight hundred forty".