105413640407 has 2 divisors, whose sum is σ = 105413640408. Its totient is φ = 105413640406.

The previous prime is 105413640259. The next prime is 105413640419. The reversal of 105413640407 is 704046314501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105413640407 - 2⁸ = 105413640151 is a prime.

It is a super-2 number, since 2×105413640407² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105413600407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52706820203 + 52706820204.

It is an arithmetic number, because the mean of its divisors is an integer number (52706820204).

Almost surely, 2^105413640407 is an apocalyptic number.

105413640407 is a deficient number, since it is larger than the sum of its proper divisors (1).

105413640407 is an equidigital number, since it uses as much as digits as its factorization.

105413640407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 105413640407 its reverse (704046314501), we get a palindrome (809459954908).

The spelling of 105413640407 in words is "one hundred five billion, four hundred thirteen million, six hundred forty thousand, four hundred seven".