105280448 has 56 divisors (see below), whose sum is σ = 257141472. Its totient is φ = 41647104.

The previous prime is 105280447. The next prime is 105280451. The reversal of 105280448 is 844082501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105280448² = 22167945462161408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105280447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3215 + ... + 14862.

It is an arithmetic number, because the mean of its divisors is an integer number (4591812).

Almost surely, 2^105280448 is an apocalyptic number.

It is an amenable number.

105280448 is an abundant number, since it is smaller than the sum of its proper divisors (151861024).

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

105280448 is a wasteful number, since it uses less digits than its factorization.

105280448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18109 (or 18099 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 105280448 is about 10260.6261017542. The cubic root of 105280448 is about 472.1890461727.

The spelling of 105280448 in words is "one hundred five million, two hundred eighty thousand, four hundred forty-eight".