105414401 has 2 divisors, whose sum is σ = 105414402. Its totient is φ = 105414400.

The previous prime is 105414377. The next prime is 105414427. The reversal of 105414401 is 104414501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103042801 + 2371600 = 10151^2 + 1540^2 .

It is a cyclic number.

It is not a de Polignac number, because 105414401 - 2¹⁰ = 105413377 is a prime.

It is a super-2 number, since 2×105414401² = 22224391876377602, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105414901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52707200 + 52707201.

It is an arithmetic number, because the mean of its divisors is an integer number (52707201).

Almost surely, 2^105414401 is an apocalyptic number.

It is an amenable number.

105414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105414401 is an equidigital number, since it uses as much as digits as its factorization.

105414401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 105414401 is about 10267.1515524024. The cubic root of 105414401 is about 472.3892236786.

Adding to 105414401 its reverse (104414501), we get a palindrome (209828902).

The spelling of 105414401 in words is "one hundred five million, four hundred fourteen thousand, four hundred one".