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10706401 is a prime number
BaseRepresentation
bin101000110101…
…110111100001
3202010221102101
4220311313201
510220101101
61021250401
7160000666
oct50656741
922127371
1010706401
116052972
123703a01
1322ab264
1415c9a6d
15e17401
hexa35de1

10706401 has 2 divisors, whose sum is σ = 10706402. Its totient is φ = 10706400.

The previous prime is 10706389. The next prime is 10706429. The reversal of 10706401 is 10460701.

It is a happy number.

10706401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9985600 + 720801 = 3160^2 + 849^2 .

It is an emirp because it is prime and its reverse (10460701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10706401 - 25 = 10706369 is a prime.

It is a super-2 number, since 2×107064012 = 229254044745602, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10706461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5353200 + 5353201.

It is an arithmetic number, because the mean of its divisors is an integer number (5353201).

Almost surely, 210706401 is an apocalyptic number.

It is an amenable number.

10706401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10706401 is an equidigital number, since it uses as much as digits as its factorization.

10706401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10706401 is about 3272.0637218734. The cubic root of 10706401 is about 220.4014776422.

The spelling of 10706401 in words is "ten million, seven hundred six thousand, four hundred one".