107640821 has 8 divisors (see below), whose sum is σ = 114075864. Its totient is φ = 101217280.

The previous prime is 107640781. The next prime is 107640893. The reversal of 107640821 is 128046701.

It can be written as a sum of positive squares in 4 ways, for example, as 83923921 + 23716900 = 9161^2 + 4870^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107640821 - 2¹⁰ = 107639797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107610821) 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, 23261 + ... + 27501.

It is an arithmetic number, because the mean of its divisors is an integer number (14259483).

Almost surely, 2^107640821 is an apocalyptic number.

It is an amenable number.

107640821 is a deficient number, since it is larger than the sum of its proper divisors (6435043).

107640821 is a wasteful number, since it uses less digits than its factorization.

107640821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5751.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 107640821 is about 10375.0094457788. The cubic root of 107640821 is about 475.6918022937.

The spelling of 107640821 in words is "one hundred seven million, six hundred forty thousand, eight hundred twenty-one".