107406816 has 192 divisors, whose sum is σ = 337913856. Its totient is φ = 29491200.

The previous prime is 107406811. The next prime is 107406851. The reversal of 107406816 is 618604701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107406811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556416 + ... + 556608.

It is an arithmetic number, because the mean of its divisors is an integer number (1759968).

Almost surely, 2^107406816 is an apocalyptic number.

107406816 is a gapful number since it is divisible by the number (16) 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 107406816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168956928).

107406816 is an abundant number, since it is smaller than the sum of its proper divisors (230507040).

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

107406816 is a wasteful number, since it uses less digits than its factorization.

107406816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 107406816 is about 10363.7259709045. The cubic root of 107406816 is about 475.3468432582.

The spelling of 107406816 in words is "one hundred seven million, four hundred six thousand, eight hundred sixteen".