105731055 has 16 divisors (see below), whose sum is σ = 187966560. Its totient is φ = 56389824.

The previous prime is 105731053. The next prime is 105731077. The reversal of 105731055 is 550137501.

It is not a de Polignac number, because 105731055 - 2¹ = 105731053 is a prime.

It is a super-2 number, since 2×105731055² = 22358111982826050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105731051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391462 + ... + 391731.

It is an arithmetic number, because the mean of its divisors is an integer number (11747910).

Almost surely, 2^105731055 is an apocalyptic number.

105731055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105731055 is a deficient number, since it is larger than the sum of its proper divisors (82235505).

105731055 is an equidigital number, since it uses as much as digits as its factorization.

105731055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783207 (or 783201 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 105731055 is about 10282.5607219214. The cubic root of 105731055 is about 472.8617537030.

Adding to 105731055 its reverse (550137501), we get a palindrome (655868556).

It can be divided in two parts, 10573 and 1055, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 105731055 in words is "one hundred five million, seven hundred thirty-one thousand, fifty-five".