105410448 has 120 divisors (see below), whose sum is σ = 346644480. Its totient is φ = 29479680.

The previous prime is 105410441. The next prime is 105410477. The reversal of 105410448 is 844014501.

It is a happy number.

It is a super-2 number, since 2×105410448² = 22222725095121408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105410441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18033 + ... + 23151.

It is an arithmetic number, because the mean of its divisors is an integer number (2888704).

Almost surely, 2^105410448 is an apocalyptic number.

105410448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105410448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

105410448 is an abundant number, since it is smaller than the sum of its proper divisors (241234032).

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

105410448 is a wasteful number, since it uses less digits than its factorization.

105410448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 105410448 is about 10266.9590434559. The cubic root of 105410448 is about 472.3833187993.

Adding to 105410448 its reverse (844014501), we get a palindrome (949424949).

The spelling of 105410448 in words is "one hundred five million, four hundred ten thousand, four hundred forty-eight".