10010106905797 has 2 divisors, whose sum is σ = 10010106905798. Its totient is φ = 10010106905796.

The previous prime is 10010106905767. The next prime is 10010106905803. The reversal of 10010106905797 is 79750960101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9979243092036 + 30863813761 = 3158994^2 + 175681^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010106905797 - 2¹⁵ = 10010106873029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010106905737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005053452898 + 5005053452899.

It is an arithmetic number, because the mean of its divisors is an integer number (5005053452899).

Almost surely, 2^{10010106905797} is an apocalyptic number.

It is an amenable number.

10010106905797 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010106905797 is an equidigital number, since it uses as much as digits as its factorization.

10010106905797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 119070, while the sum is 46.

The spelling of 10010106905797 in words is "ten trillion, ten billion, one hundred six million, nine hundred five thousand, seven hundred ninety-seven".