105407808 has 112 divisors (see below), whose sum is σ = 314919360. Its totient is φ = 30822400.

The previous prime is 105407789. The next prime is 105407821. The reversal of 105407808 is 808704501.

It is a happy number.

It is a super-2 number, since 2×105407808² = 22221611974729728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60388 + ... + 62108.

It is an arithmetic number, because the mean of its divisors is an integer number (2811780).

Almost surely, 2^105407808 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 105407808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157459680).

105407808 is an abundant number, since it is smaller than the sum of its proper divisors (209511552).

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

105407808 is a wasteful number, since it uses less digits than its factorization.

105407808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 105407808 is about 10266.8304748837. The cubic root of 105407808 is about 472.3793751599.

The spelling of 105407808 in words is "one hundred five million, four hundred seven thousand, eight hundred eight".