105256448 has 60 divisors (see below), whose sum is σ = 231300300. Its totient is φ = 47815680.

The previous prime is 105256433. The next prime is 105256451. The reversal of 105256448 is 844652501.

It is a super-2 number, since 2×105256448² = 22157839691153408, 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 5 ways as a sum of consecutive naturals, for example, 61103 + ... + 62801.

It is an arithmetic number, because the mean of its divisors is an integer number (3855005).

Almost surely, 2^105256448 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 105256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115650150).

105256448 is an abundant number, since it is smaller than the sum of its proper divisors (126043852).

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

105256448 is an equidigital number, since it uses as much as digits as its factorization.

105256448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 105256448 is about 10259.4565158199. The cubic root of 105256448 is about 472.1531629719.

The spelling of 105256448 in words is "one hundred five million, two hundred fifty-six thousand, four hundred forty-eight".