107041680 has 60 divisors (see below), whose sum is σ = 359484060. Its totient is φ = 28544256.

The previous prime is 107041661. The next prime is 107041691. The reversal of 107041680 is 86140701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 55890576 = 7152^2 + 7476^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×107041680² = 22915842514444800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73615 + ... + 75054.

It is an arithmetic number, because the mean of its divisors is an integer number (5991401).

Almost surely, 2^107041680 is an apocalyptic number.

107041680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107041680 is an abundant number, since it is smaller than the sum of its proper divisors (252442380).

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

107041680 is a wasteful number, since it uses less digits than its factorization.

107041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148688 (or 148679 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107041680 is about 10346.0949154741. The cubic root of 107041680 is about 474.8075748743.

The spelling of 107041680 in words is "one hundred seven million, forty-one thousand, six hundred eighty".