105948 has 36 divisors (see below), whose sum is σ = 280280. Its totient is φ = 34992.

The previous prime is 105943. The next prime is 105953. The reversal of 105948 is 849501.

It is an interprime number because it is at equal distance from previous prime (105943) and next prime (105953).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105948² = 22449957408, 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105948.

It is not an unprimeable number, because it can be changed into a prime (105943) by changing a digit.

105948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 11 ways as a sum of consecutive naturals, for example, 918 + ... + 1026.

2¹⁰⁵⁹⁴⁸ is an apocalyptic number.

105948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140140).

105948 is an abundant number, since it is smaller than the sum of its proper divisors (174332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105948 is a wasteful number, since it uses less digits than its factorization.

105948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105948 is about 325.4965437605. The cubic root of 105948 is about 47.3184947646.

The spelling of 105948 in words is "one hundred five thousand, nine hundred forty-eight".