105123407 has 2 divisors, whose sum is σ = 105123408. Its totient is φ = 105123406.

The previous prime is 105123397. The next prime is 105123481. The reversal of 105123407 is 704321501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105123407 - 2²⁴ = 88346191 is a prime.

It is a super-2 number, since 2×105123407² = 22101861398575298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105123607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561703 + 52561704.

It is an arithmetic number, because the mean of its divisors is an integer number (52561704).

Almost surely, 2^105123407 is an apocalyptic number.

105123407 is a deficient number, since it is larger than the sum of its proper divisors (1).

105123407 is an equidigital number, since it uses as much as digits as its factorization.

105123407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 105123407 is about 10252.9706426967. The cubic root of 105123407 is about 471.9541499440.

Adding to 105123407 its reverse (704321501), we get a palindrome (809444908).

The spelling of 105123407 in words is "one hundred five million, one hundred twenty-three thousand, four hundred seven".