107008021 has 2 divisors, whose sum is σ = 107008022. Its totient is φ = 107008020.

The previous prime is 107008009. The next prime is 107008043. The reversal of 107008021 is 120800701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105472900 + 1535121 = 10270^2 + 1239^2 .

It is a cyclic number.

It is not a de Polignac number, because 107008021 - 2¹⁷ = 106876949 is a prime.

It is a super-2 number, since 2×107008021² = 22901433116672882, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107008021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107008061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53504010 + 53504011.

It is an arithmetic number, because the mean of its divisors is an integer number (53504011).

Almost surely, 2^107008021 is an apocalyptic number.

It is an amenable number.

107008021 is a deficient number, since it is larger than the sum of its proper divisors (1).

107008021 is an equidigital number, since it uses as much as digits as its factorization.

107008021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 107008021 is about 10344.4681351919. The cubic root of 107008021 is about 474.7578022886.

Adding to 107008021 its reverse (120800701), we get a palindrome (227808722).

It can be divided in two parts, 10700 and 8021, that added together give a triangular number (18721 = T₁₉₃).

The spelling of 107008021 in words is "one hundred seven million, eight thousand, twenty-one".