105532848 has 80 divisors (see below), whose sum is σ = 304742400. Its totient is φ = 34966080.

The previous prime is 105532841. The next prime is 105532853. The reversal of 105532848 is 848235501.

It is a happy number.

It is a super-2 number, since 2×105532848² = 22274364013982208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105532841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81873 + ... + 83151.

It is an arithmetic number, because the mean of its divisors is an integer number (3809280).

Almost surely, 2^105532848 is an apocalyptic number.

105532848 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 105532848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152371200).

105532848 is an abundant number, since it is smaller than the sum of its proper divisors (199209552).

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

105532848 is a wasteful number, since it uses less digits than its factorization.

105532848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 105532848 is about 10272.9181832622. The cubic root of 105532848 is about 472.5660880096.

The spelling of 105532848 in words is "one hundred five million, five hundred thirty-two thousand, eight hundred forty-eight".