105988 has 6 divisors (see below), whose sum is σ = 185486. Its totient is φ = 52992.

The previous prime is 105983. The next prime is 105997. The reversal of 105988 is 889501.

It can be written as a sum of positive squares in only one way, i.e., 103684 + 2304 = 322^2 + 48^2 .

It is a super-2 number, since 2×105988² = 22466912288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13245 + ... + 13252.

2¹⁰⁵⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

105988 is a deficient number, since it is larger than the sum of its proper divisors (79498).

105988 is a wasteful number, since it uses less digits than its factorization.

105988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26501 (or 26499 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 105988 is about 325.5579825469. The cubic root of 105988 is about 47.3244489486.

It can be divided in two parts, 105 and 988, that multiplied together give a triangular number (103740 = T₄₅₅).

The spelling of 105988 in words is "one hundred five thousand, nine hundred eighty-eight".