105540048 has 120 divisors (see below), whose sum is σ = 309504000. Its totient is φ = 33530112.

The previous prime is 105539999. The next prime is 105540053. The reversal of 105540048 is 840045501.

It is a super-2 number, since 2×105540048² = 22277403463684608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530253 + ... + 530451.

It is an arithmetic number, because the mean of its divisors is an integer number (2579200).

Almost surely, 2^105540048 is an apocalyptic number.

105540048 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 105540048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154752000).

105540048 is an abundant number, since it is smaller than the sum of its proper divisors (203963952).

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

105540048 is a wasteful number, since it uses less digits than its factorization.

105540048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105540048 is about 10273.2686132506. The cubic root of 105540048 is about 472.5768347377.

Adding to 105540048 its reverse (840045501), we get a palindrome (945585549).

The spelling of 105540048 in words is "one hundred five million, five hundred forty thousand, forty-eight".