105851808 has 36 divisors (see below), whose sum is σ = 301016898. Its totient is φ = 35283840.

The previous prime is 105851803. The next prime is 105851813. The reversal of 105851808 is 808158501.

It is an interprime number because it is at equal distance from previous prime (105851803) and next prime (105851813).

It can be written as a sum of positive squares in only one way, i.e., 99440784 + 6411024 = 9972^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105851808² = 22409210513737728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105851803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 183483 + ... + 184058.

Almost surely, 2^105851808 is an apocalyptic number.

105851808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105851808 is an abundant number, since it is smaller than the sum of its proper divisors (195165090).

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

105851808 is a wasteful number, since it uses less digits than its factorization.

105851808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367557 (or 367546 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 105851808 is about 10288.4307841381. The cubic root of 105851808 is about 473.0417000515.

The spelling of 105851808 in words is "one hundred five million, eight hundred fifty-one thousand, eight hundred eight".