105727117 has 2 divisors, whose sum is σ = 105727118. Its totient is φ = 105727116.

The previous prime is 105727099. The next prime is 105727121. The reversal of 105727117 is 711727501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99321156 + 6405961 = 9966^2 + 2531^2 .

It is a cyclic number.

It is not a de Polignac number, because 105727117 - 2⁷ = 105726989 is a prime.

It is a super-2 number, since 2×105727117² = 22356446538263378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105727157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52863558 + 52863559.

It is an arithmetic number, because the mean of its divisors is an integer number (52863559).

Almost surely, 2^105727117 is an apocalyptic number.

It is an amenable number.

105727117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105727117 is an equidigital number, since it uses as much as digits as its factorization.

105727117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3430, while the sum is 31.

The square root of 105727117 is about 10282.3692308728. The cubic root of 105727117 is about 472.8558829816.

It can be divided in two parts, 10572 and 7117, that added together give a square (17689 = 133²).

The spelling of 105727117 in words is "one hundred five million, seven hundred twenty-seven thousand, one hundred seventeen".