102414407 has 2 divisors, whose sum is σ = 102414408. Its totient is φ = 102414406.

The previous prime is 102414373. The next prime is 102414413. The reversal of 102414407 is 704414201.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (704414201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102414407 - 2¹⁰ = 102413383 is a prime.

It is a super-2 number, since 2×102414407² = 20977421522323298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102414437) 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, 51207203 + 51207204.

It is an arithmetic number, because the mean of its divisors is an integer number (51207204).

Almost surely, 2^102414407 is an apocalyptic number.

102414407 is a deficient number, since it is larger than the sum of its proper divisors (1).

102414407 is an equidigital number, since it uses as much as digits as its factorization.

102414407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 102414407 is about 10120.0003458498. Note that the first 3 decimals coincide. The cubic root of 102414407 is about 467.8647778787.

Adding to 102414407 its reverse (704414201), we get a palindrome (806828608).

The spelling of 102414407 in words is "one hundred two million, four hundred fourteen thousand, four hundred seven".