105209808 has 40 divisors (see below), whose sum is σ = 296501856. Its totient is φ = 31881600.

The previous prime is 105209779. The next prime is 105209809. The reversal of 105209808 is 808902501.

It is a happy number.

It is a super-2 number, since 2×105209808² = 22138207398793728, 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 not an unprimeable number, because it can be changed into a prime (105209809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99103 + ... + 100158.

Almost surely, 2^105209808 is an apocalyptic number.

It is an amenable number.

105209808 is an abundant number, since it is smaller than the sum of its proper divisors (191292048).

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

105209808 is a wasteful number, since it uses less digits than its factorization.

105209808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199283 (or 199277 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 105209808 is about 10257.1832390769. The cubic root of 105209808 is about 472.0834143490.

The spelling of 105209808 in words is "one hundred five million, two hundred nine thousand, eight hundred eight".