105732881 has 2 divisors, whose sum is σ = 105732882. Its totient is φ = 105732880.

The previous prime is 105732821. The next prime is 105732917. The reversal of 105732881 is 188237501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103530625 + 2202256 = 10175^2 + 1484^2 .

It is a cyclic number.

It is not a de Polignac number, because 105732881 - 2¹⁴ = 105716497 is a prime.

It is a super-2 number, since 2×105732881² = 22358884249120322, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105732821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52866440 + 52866441.

It is an arithmetic number, because the mean of its divisors is an integer number (52866441).

Almost surely, 2^105732881 is an apocalyptic number.

It is an amenable number.

105732881 is a deficient number, since it is larger than the sum of its proper divisors (1).

105732881 is an equidigital number, since it uses as much as digits as its factorization.

105732881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 105732881 is about 10282.6495126499. The cubic root of 105732881 is about 472.8644758316.

The spelling of 105732881 in words is "one hundred five million, seven hundred thirty-two thousand, eight hundred eighty-one".