107416 has 16 divisors (see below), whose sum is σ = 208800. Its totient is φ = 51744.

The previous prime is 107377. The next prime is 107441. The reversal of 107416 is 614701.

It is a happy number.

107416 is a nontrivial binomial coefficient, being equal to C(464, 2).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 107393 and 107402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (13050).

2¹⁰⁷⁴¹⁶ is an apocalyptic number.

107416 is the 463-rd triangular number and also the 232-nd hexagonal number.

107416 is the 155-th centered nonagonal number.

It is an amenable number.

107416 is a deficient number, since it is larger than the sum of its proper divisors (101384).

107416 is a wasteful number, since it uses less digits than its factorization.

107416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 107416 is about 327.7438023823. The cubic root of 107416 is about 47.5360391315.

Adding to 107416 its product of nonzero digits (168), we get a square (107584 = 328²).

It can be divided in two parts, 10741 and 6, that multiplied together give a palindrome (64446).

The spelling of 107416 in words is "one hundred seven thousand, four hundred sixteen".