105640808 has 96 divisors (see below), whose sum is σ = 253572480. Its totient is φ = 40176000.

The previous prime is 105640807. The next prime is 105640811. The reversal of 105640808 is 808046501.

It is a super-2 number, since 2×105640808² = 22319960629785728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105640807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699533 + ... + 699683.

It is an arithmetic number, because the mean of its divisors is an integer number (2641380).

Almost surely, 2^105640808 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 105640808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126786240).

105640808 is an abundant number, since it is smaller than the sum of its proper divisors (147931672).

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

105640808 is a wasteful number, since it uses less digits than its factorization.

105640808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 105640808 is about 10278.1714327014. The cubic root of 105640808 is about 472.7271779720.

The spelling of 105640808 in words is "one hundred five million, six hundred forty thousand, eight hundred eight".