105488 has 20 divisors (see below), whose sum is σ = 215760. Its totient is φ = 49824.

The previous prime is 105467. The next prime is 105491. The reversal of 105488 is 884501.

It is a super-4 number, since 4×105488⁴ (a number of 21 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105488.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (10788).

2¹⁰⁵⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107880).

105488 is an abundant number, since it is smaller than the sum of its proper divisors (110272).

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

105488 is a wasteful number, since it uses less digits than its factorization.

105488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 105488 is about 324.7891623808. The cubic root of 105488 is about 47.2499136827.

Adding to 105488 its reverse (884501), we get a palindrome (989989).

The spelling of 105488 in words is "one hundred five thousand, four hundred eighty-eight".