105962 has 4 divisors (see below), whose sum is σ = 158946. Its totient is φ = 52980.

The previous prime is 105953. The next prime is 105967. The reversal of 105962 is 269501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in only one way, i.e., 57121 + 48841 = 239^2 + 221^2 .

It is a super-2 number, since 2×105962² = 22455890888, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105962.

It is not an unprimeable number, because it can be changed into a prime (105967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26489 + ... + 26492.

2¹⁰⁵⁹⁶² is an apocalyptic number.

105962 is a deficient number, since it is larger than the sum of its proper divisors (52984).

105962 is an equidigital number, since it uses as much as digits as its factorization.

105962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52983.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 105962 is about 325.5180486548. The cubic root of 105962 is about 47.3205788995.

The spelling of 105962 in words is "one hundred five thousand, nine hundred sixty-two".