107003821 has 8 divisors (see below), whose sum is σ = 109460504. Its totient is φ = 104569920.

The previous prime is 107003789. The next prime is 107003833. The reversal of 107003821 is 128300701.

107003821 = 7314² + 7315².

It can be written as a sum of positive squares in 4 ways, for example, as 108900 + 106894921 = 330^2 + 10339^2 .

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 107003821 - 2⁵ = 107003789 is a prime.

It is a super-2 number, since 2×107003821² = 22899635417200082, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107003792 and 107003801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107003851) 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, 3991 + ... + 15163.

It is an arithmetic number, because the mean of its divisors is an integer number (13682563).

Almost surely, 2^107003821 is an apocalyptic number.

107003821 is the 7315-th centered square number.

It is an amenable number.

107003821 is a deficient number, since it is larger than the sum of its proper divisors (2456683).

107003821 is a wasteful number, since it uses less digits than its factorization.

107003821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11391.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 107003821 is about 10344.2651261460. The cubic root of 107003821 is about 474.7515908886.

The spelling of 107003821 in words is "one hundred seven million, three thousand, eight hundred twenty-one".