10000106905897 has 2 divisors, whose sum is σ = 10000106905898. Its totient is φ = 10000106905896.

The previous prime is 10000106905891. The next prime is 10000106905933. The reversal of 10000106905897 is 79850960100001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5467385003536 + 4532721902361 = 2338244^2 + 2129019^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000106905897 - 2¹⁵ = 10000106873129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000106905891) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000053452948 + 5000053452949.

It is an arithmetic number, because the mean of its divisors is an integer number (5000053452949).

Almost surely, 2^{10000106905897} is an apocalyptic number.

It is an amenable number.

10000106905897 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000106905897 is an equidigital number, since it uses as much as digits as its factorization.

10000106905897 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 10000106905897 in words is "ten trillion, one hundred six million, nine hundred five thousand, eight hundred ninety-seven".