105247408 has 80 divisors (see below), whose sum is σ = 248984064. Its totient is φ = 42071040.

The previous prime is 105247399. The next prime is 105247421. The reversal of 105247408 is 804742501.

It is a super-2 number, since 2×105247408² = 22154033781436928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105247408.

It is an unprimeable number.

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, 317803 + ... + 318133.

Almost surely, 2^105247408 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 105247408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124492032).

105247408 is an abundant number, since it is smaller than the sum of its proper divisors (143736656).

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

105247408 is a wasteful number, since it uses less digits than its factorization.

105247408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 105247408 is about 10259.0159372135. The cubic root of 105247408 is about 472.1396455521.

Adding to 105247408 its reverse (804742501), we get a palindrome (909989909).

The spelling of 105247408 in words is "one hundred five million, two hundred forty-seven thousand, four hundred eight".