105245408 has 96 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 46738944.

The previous prime is 105245407. The next prime is 105245417. The reversal of 105245408 is 804542501.

It is a super-2 number, since 2×105245408² = 22153191810172928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105245407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828641 + ... + 828767.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2^105245408 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 105245408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

105245408 is an abundant number, since it is smaller than the sum of its proper divisors (126997792).

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

105245408 is a wasteful number, since it uses less digits than its factorization.

105245408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 105245408 is about 10258.9184615144. The cubic root of 105245408 is about 472.1366548679.

Adding to 105245408 its reverse (804542501), we get a palindrome (909787909).

The spelling of 105245408 in words is "one hundred five million, two hundred forty-five thousand, four hundred eight".