105867401 has 2 divisors, whose sum is σ = 105867402. Its totient is φ = 105867400.

The previous prime is 105867379. The next prime is 105867407. The reversal of 105867401 is 104768501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72505225 + 33362176 = 8515^2 + 5776^2 .

It is a cyclic number.

It is not a de Polignac number, because 105867401 - 2²² = 101673097 is a prime.

It is a super-2 number, since 2×105867401² = 22415813188989602, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105867407) 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, 52933700 + 52933701.

It is an arithmetic number, because the mean of its divisors is an integer number (52933701).

Almost surely, 2^105867401 is an apocalyptic number.

It is an amenable number.

105867401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105867401 is an equidigital number, since it uses as much as digits as its factorization.

105867401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 105867401 is about 10289.1885491520. The cubic root of 105867401 is about 473.0649267908.

The spelling of 105867401 in words is "one hundred five million, eight hundred sixty-seven thousand, four hundred one".