10905701 has 2 divisors, whose sum is σ = 10905702. Its totient is φ = 10905700.

The previous prime is 10905683. The next prime is 10905709. The reversal of 10905701 is 10750901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8116801 + 2788900 = 2849^2 + 1670^2 .

It is a cyclic number.

It is not a de Polignac number, because 10905701 - 2⁶ = 10905637 is a prime.

It is a super-3 number, since 3×10905701³ (a number of 22 digits) contains 333 as substring.

It is equal to p₇₂₀₇₀₇ and since 10905701 and 720707 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10905709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5452850 + 5452851.

It is an arithmetic number, because the mean of its divisors is an integer number (5452851).

Almost surely, 2^10905701 is an apocalyptic number.

It is an amenable number.

10905701 is a deficient number, since it is larger than the sum of its proper divisors (1).

10905701 is an equidigital number, since it uses as much as digits as its factorization.

10905701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 10905701 is about 3302.3780825339. The cubic root of 10905701 is about 221.7606719328.

The spelling of 10905701 in words is "ten million, nine hundred five thousand, seven hundred one".