107864101 has 2 divisors, whose sum is σ = 107864102. Its totient is φ = 107864100.

The previous prime is 107864087. The next prime is 107864149. The reversal of 107864101 is 101468701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107848225 + 15876 = 10385^2 + 126^2 .

It is a cyclic number.

It is not a de Polignac number, because 107864101 - 2⁵ = 107864069 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 107864101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107864161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53932050 + 53932051.

It is an arithmetic number, because the mean of its divisors is an integer number (53932051).

Almost surely, 2^107864101 is an apocalyptic number.

It is an amenable number.

107864101 is a deficient number, since it is larger than the sum of its proper divisors (1).

107864101 is an equidigital number, since it uses as much as digits as its factorization.

107864101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 107864101 is about 10385.7643435618. The cubic root of 107864101 is about 476.0204852540.

The spelling of 107864101 in words is "one hundred seven million, eight hundred sixty-four thousand, one hundred one".