106784680 has 32 divisors (see below), whose sum is σ = 240605640. Its totient is φ = 42653440.

The previous prime is 106784647. The next prime is 106784683. The reversal of 106784680 is 86487601.

It can be written as a sum of positive squares in 4 ways, for example, as 62188996 + 44595684 = 7886^2 + 6678^2 .

It is a super-2 number, since 2×106784680² = 22805935765404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (106784683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36222 + ... + 39058.

Almost surely, 2^106784680 is an apocalyptic number.

106784680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106784680 is an abundant number, since it is smaller than the sum of its proper divisors (133820960).

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

106784680 is a wasteful number, since it uses less digits than its factorization.

106784680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 106784680 is about 10333.6673064310. The cubic root of 106784680 is about 474.4272764845.

The spelling of 106784680 in words is "one hundred six million, seven hundred eighty-four thousand, six hundred eighty".