105269808 has 80 divisors (see below), whose sum is σ = 312765696. Its totient is φ = 29886720.

The previous prime is 105269803. The next prime is 105269821. The reversal of 105269808 is 808962501.

It is a super-2 number, since 2×105269808² = 22163464952713728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105269803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57223 + ... + 59033.

Almost surely, 2^105269808 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 105269808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156382848).

105269808 is an abundant number, since it is smaller than the sum of its proper divisors (207495888).

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

105269808 is a wasteful number, since it uses less digits than its factorization.

105269808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 105269808 is about 10260.1076017749. The cubic root of 105269808 is about 472.1731386267.

The spelling of 105269808 in words is "one hundred five million, two hundred sixty-nine thousand, eight hundred eight".