105661755 has 24 divisors (see below), whose sum is σ = 192787920. Its totient is φ = 53386560.

The previous prime is 105661741. The next prime is 105661757. The reversal of 105661755 is 557166501.

It is not a de Polignac number, because 105661755 - 2⁵ = 105661723 is a prime.

It is a super-2 number, since 2×105661755² = 22328812939360050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105661757) 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 in 23 ways as a sum of consecutive naturals, for example, 60936 + ... + 62645.

It is an arithmetic number, because the mean of its divisors is an integer number (8032830).

Almost surely, 2^105661755 is an apocalyptic number.

105661755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105661755 is a deficient number, since it is larger than the sum of its proper divisors (87126165).

105661755 is a wasteful number, since it uses less digits than its factorization.

105661755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123611 (or 123608 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 105661755 is about 10279.1903864069. The cubic root of 105661755 is about 472.7584208284.

It can be divided in two parts, 10566 and 1755, that added together give a palindrome (12321).

The spelling of 105661755 in words is "one hundred five million, six hundred sixty-one thousand, seven hundred fifty-five".