105875448 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 27924480.

The previous prime is 105875423. The next prime is 105875449. The reversal of 105875448 is 844578501.

It is a super-2 number, since 2×105875448² = 22419220978401408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105875449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130468 + ... + 131276.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^105875448 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 105875448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

105875448 is an abundant number, since it is smaller than the sum of its proper divisors (220716552).

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

105875448 is a wasteful number, since it uses less digits than its factorization.

105875448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 105875448 is about 10289.5795832483. The cubic root of 105875448 is about 473.0769124036.

The spelling of 105875448 in words is "one hundred five million, eight hundred seventy-five thousand, four hundred forty-eight".