101638093 has 2 divisors, whose sum is σ = 101638094. Its totient is φ = 101638092.

The previous prime is 101638091. The next prime is 101638109. The reversal of 101638093 is 390836101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64208169 + 37429924 = 8013^2 + 6118^2 .

It is an emirp because it is prime and its reverse (390836101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101638093 - 2¹ = 101638091 is a prime.

Together with 101638091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101638091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50819046 + 50819047.

It is an arithmetic number, because the mean of its divisors is an integer number (50819047).

Almost surely, 2^101638093 is an apocalyptic number.

It is an amenable number.

101638093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101638093 is an equidigital number, since it uses as much as digits as its factorization.

101638093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 101638093 is about 10081.5719508418. The cubic root of 101638093 is about 466.6796204454.

The spelling of 101638093 in words is "one hundred one million, six hundred thirty-eight thousand, ninety-three".