105906127 has 2 divisors, whose sum is σ = 105906128. Its totient is φ = 105906126.

The previous prime is 105906113. The next prime is 105906149. The reversal of 105906127 is 721609501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105906127 - 2¹⁵ = 105873359 is a prime.

It is a super-2 number, since 2×105906127² = 22432215472280258, which contains 22 as substring.

It is equal to p_6081727 and since 105906127 and 6081727 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105906167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52953063 + 52953064.

It is an arithmetic number, because the mean of its divisors is an integer number (52953064).

Almost surely, 2^105906127 is an apocalyptic number.

105906127 is a deficient number, since it is larger than the sum of its proper divisors (1).

105906127 is an equidigital number, since it uses as much as digits as its factorization.

105906127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 105906127 is about 10291.0702553233. The cubic root of 105906127 is about 473.1226017025.

The spelling of 105906127 in words is "one hundred five million, nine hundred six thousand, one hundred twenty-seven".