105048 has 24 divisors (see below), whose sum is σ = 284700. Its totient is φ = 34992.

The previous prime is 105037. The next prime is 105071. The reversal of 105048 is 840501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105048² = 22070164608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 105048.

It is a congruent number.

It is an unprimeable number.

105048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 658 + ... + 801.

2¹⁰⁵⁰⁴⁸ is an apocalyptic number.

105048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105048 is an abundant number, since it is smaller than the sum of its proper divisors (179652).

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

105048 is a wasteful number, since it uses less digits than its factorization.

105048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105048 is about 324.1110920657. Note that the first 3 decimals coincide. The cubic root of 105048 is about 47.1841275750.

Adding to 105048 its reverse (840501), we get a palindrome (945549).

The spelling of 105048 in words is "one hundred five thousand, forty-eight".