100129993 has 2 divisors, whose sum is σ = 100129994. Its totient is φ = 100129992.

The previous prime is 100129987. The next prime is 100130003. The reversal of 100129993 is 399921001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99261369 + 868624 = 9963^2 + 932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100129993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100129933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50064996 + 50064997.

It is an arithmetic number, because the mean of its divisors is an integer number (50064997).

Almost surely, 2^100129993 is an apocalyptic number.

It is an amenable number.

100129993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100129993 is an equidigital number, since it uses as much as digits as its factorization.

100129993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 34.

The square root of 100129993 is about 10006.4975390993. The cubic root of 100129993 is about 464.3599209606.

The spelling of 100129993 in words is "one hundred million, one hundred twenty-nine thousand, nine hundred ninety-three".