105708448 has 48 divisors (see below), whose sum is σ = 225529920. Its totient is φ = 48577536.

The previous prime is 105708439. The next prime is 105708479. The reversal of 105708448 is 844807501.

It is a super-2 number, since 2×105708448² = 22348551957137408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21133 + ... + 25651.

It is an arithmetic number, because the mean of its divisors is an integer number (4698540).

Almost surely, 2^105708448 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 105708448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112764960).

105708448 is an abundant number, since it is smaller than the sum of its proper divisors (119821472).

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

105708448 is a wasteful number, since it uses less digits than its factorization.

105708448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 105708448 is about 10281.4613747268. The cubic root of 105708448 is about 472.8280494848.

The spelling of 105708448 in words is "one hundred five million, seven hundred eight thousand, four hundred forty-eight".