100700993 has 2 divisors, whose sum is σ = 100700994. Its totient is φ = 100700992.

The previous prime is 100700987. The next prime is 100701001. The reversal of 100700993 is 399007001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71031184 + 29669809 = 8428^2 + 5447^2 .

It is a cyclic number.

It is not a de Polignac number, because 100700993 - 2²⁶ = 33592129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100700903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50350496 + 50350497.

It is an arithmetic number, because the mean of its divisors is an integer number (50350497).

Almost surely, 2^100700993 is an apocalyptic number.

It is an amenable number.

100700993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100700993 is an equidigital number, since it uses as much as digits as its factorization.

100700993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 29.

The square root of 100700993 is about 10034.9884404517. The cubic root of 100700993 is about 465.2409326832.

Adding to 100700993 its reverse (399007001), we get a palindrome (499707994).

The spelling of 100700993 in words is "one hundred million, seven hundred thousand, nine hundred ninety-three".