105633127 has 2 divisors, whose sum is σ = 105633128. Its totient is φ = 105633126.

The previous prime is 105633067. The next prime is 105633131. The reversal of 105633127 is 721336501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105633127 is a prime.

It is a super-2 number, since 2×105633127² = 22316715039596258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105633095 and 105633104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105633137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52816563 + 52816564.

It is an arithmetic number, because the mean of its divisors is an integer number (52816564).

Almost surely, 2^105633127 is an apocalyptic number.

105633127 is a deficient number, since it is larger than the sum of its proper divisors (1).

105633127 is an equidigital number, since it uses as much as digits as its factorization.

105633127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 105633127 is about 10277.7977699505. The cubic root of 105633127 is about 472.7157205768.

Adding to 105633127 its reverse (721336501), we get a palindrome (826969628).

The spelling of 105633127 in words is "one hundred five million, six hundred thirty-three thousand, one hundred twenty-seven".