414105101 has 2 divisors, whose sum is σ = 414105102. Its totient is φ = 414105100.

The previous prime is 414105089. The next prime is 414105119. The reversal of 414105101 is 101501414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292444201 + 121660900 = 17101^2 + 11030^2 .

It is a cyclic number.

It is not a de Polignac number, because 414105101 - 2²² = 409910797 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 414105101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414105191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207052550 + 207052551.

It is an arithmetic number, because the mean of its divisors is an integer number (207052551).

Almost surely, 2^414105101 is an apocalyptic number.

It is an amenable number.

414105101 is a deficient number, since it is larger than the sum of its proper divisors (1).

414105101 is an equidigital number, since it uses as much as digits as its factorization.

414105101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 414105101 is about 20349.5725016522. The cubic root of 414105101 is about 745.3670554358.

Adding to 414105101 its reverse (101501414), we get a palindrome (515606515).

The spelling of 414105101 in words is "four hundred fourteen million, one hundred five thousand, one hundred one".