107040 has 48 divisors (see below), whose sum is σ = 338688. Its totient is φ = 28416.

The previous prime is 107033. The next prime is 107053. The reversal of 107040 is 40701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×107040² = 22915123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

107040 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2¹⁰⁷⁰⁴⁰ is an apocalyptic number.

107040 is a gapful number since it is divisible by the number (10) 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 107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

107040 is an abundant number, since it is smaller than the sum of its proper divisors (231648).

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

107040 is a wasteful number, since it uses less digits than its factorization.

107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 107040 is about 327.1696807469. The cubic root of 107040 is about 47.4805090855.

Adding to 107040 its reverse (40701), we get a palindrome (147741).

The spelling of 107040 in words is "one hundred seven thousand, forty", and thus it is an iban number.