101005805093 has 2 divisors, whose sum is σ = 101005805094. Its totient is φ = 101005805092.

The previous prime is 101005805077. The next prime is 101005805123. The reversal of 101005805093 is 390508500101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88127640769 + 12878164324 = 296863^2 + 113482^2 .

It is a cyclic number.

It is not a de Polignac number, because 101005805093 - 2⁴ = 101005805077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101005805053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50502902546 + 50502902547.

It is an arithmetic number, because the mean of its divisors is an integer number (50502902547).

Almost surely, 2^101005805093 is an apocalyptic number.

It is an amenable number.

101005805093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101005805093 is an equidigital number, since it uses as much as digits as its factorization.

101005805093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 101005805093 in words is "one hundred one billion, five million, eight hundred five thousand, ninety-three".