105208448 has 16 divisors (see below), whose sum is σ = 209595210. Its totient is φ = 52604160.

The previous prime is 105208447. The next prime is 105208457. The reversal of 105208448 is 844802501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 58859584 + 46348864 = 7672^2 + 6808^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×105208448² = 22137635061137408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105208447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410843 + ... + 411098.

Almost surely, 2^105208448 is an apocalyptic number.

It is an amenable number.

105208448 is a deficient number, since it is larger than the sum of its proper divisors (104386762).

105208448 is an frugal number, since it uses more digits than its factorization.

105208448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821955 (or 821943 counting only the distinct ones).

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

The square root of 105208448 is about 10257.1169438590. The cubic root of 105208448 is about 472.0813802033.

The spelling of 105208448 in words is "one hundred five million, two hundred eight thousand, four hundred forty-eight".