105937147 has 2 divisors, whose sum is σ = 105937148. Its totient is φ = 105937146.

The previous prime is 105937129. The next prime is 105937151. The reversal of 105937147 is 741739501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105937147 - 2⁷ = 105937019 is a prime.

It is a super-2 number, since 2×105937147² = 22445358228999218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105937127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52968573 + 52968574.

It is an arithmetic number, because the mean of its divisors is an integer number (52968574).

Almost surely, 2^105937147 is an apocalyptic number.

105937147 is a deficient number, since it is larger than the sum of its proper divisors (1).

105937147 is an equidigital number, since it uses as much as digits as its factorization.

105937147 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 105937147 is about 10292.5772768535. The cubic root of 105937147 is about 473.1687898720.

The spelling of 105937147 in words is "one hundred five million, nine hundred thirty-seven thousand, one hundred forty-seven".