107784080 has 80 divisors (see below), whose sum is σ = 271951344. Its totient is φ = 39567360.

The previous prime is 107784077. The next prime is 107784107. The reversal of 107784080 is 80487701.

It can be written as a sum of positive squares in 8 ways, for example, as 1364224 + 106419856 = 1168^2 + 10316^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 107784080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54794 + ... + 56726.

Almost surely, 2^107784080 is an apocalyptic number.

107784080 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 107784080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135975672).

107784080 is an abundant number, since it is smaller than the sum of its proper divisors (164167264).

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

107784080 is a wasteful number, since it uses less digits than its factorization.

107784080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 107784080 is about 10381.9111920686. The cubic root of 107784080 is about 475.9027412334.

The spelling of 107784080 in words is "one hundred seven million, seven hundred eighty-four thousand, eighty".