100667993 has 2 divisors, whose sum is σ = 100667994. Its totient is φ = 100667992.

The previous prime is 100667981. The next prime is 100668059. The reversal of 100667993 is 399766001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53772889 + 46895104 = 7333^2 + 6848^2 .

It is a cyclic number.

It is not a de Polignac number, because 100667993 - 2¹⁶ = 100602457 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100667993.

It is not a weakly prime, because it can be changed into another prime (100667923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50333996 + 50333997.

It is an arithmetic number, because the mean of its divisors is an integer number (50333997).

Almost surely, 2^100667993 is an apocalyptic number.

It is an amenable number.

100667993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100667993 is an equidigital number, since it uses as much as digits as its factorization.

100667993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61236, while the sum is 41.

The square root of 100667993 is about 10033.3440586875. The cubic root of 100667993 is about 465.1901068747.

The spelling of 100667993 in words is "one hundred million, six hundred sixty-seven thousand, nine hundred ninety-three".