107408 has 30 divisors (see below), whose sum is σ = 243846. Its totient is φ = 45696.

The previous prime is 107377. The next prime is 107441. The reversal of 107408 is 804701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 12544 = 308^2 + 112^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 107408.

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 107408.

It is an unprimeable number.

107408 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 5 ways as a sum of consecutive naturals, for example, 716 + ... + 852.

2¹⁰⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121923).

107408 is an abundant number, since it is smaller than the sum of its proper divisors (136438).

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

107408 is a wasteful number, since it uses less digits than its factorization.

107408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 107408 is about 327.7315975001. The cubic root of 107408 is about 47.5348589915.

It can be divided in two parts, 107 and 408, that added together give a palindrome (515).

The spelling of 107408 in words is "one hundred seven thousand, four hundred eight".