105815801 has 24 divisors (see below), whose sum is σ = 136679040. Its totient is φ = 80061696.

The previous prime is 105815789. The next prime is 105815821. The reversal of 105815801 is 108518501.

It is not a de Polignac number, because 105815801 - 2¹⁰ = 105814777 is a prime.

It is a super-2 number, since 2×105815801² = 22393967482543202, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105815821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25265 + ... + 29153.

It is an arithmetic number, because the mean of its divisors is an integer number (5694960).

Almost surely, 2^105815801 is an apocalyptic number.

It is an amenable number.

105815801 is a deficient number, since it is larger than the sum of its proper divisors (30863239).

105815801 is a wasteful number, since it uses less digits than its factorization.

105815801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 29.

The square root of 105815801 is about 10286.6807571733. The cubic root of 105815801 is about 472.9880566781.

The spelling of 105815801 in words is "one hundred five million, eight hundred fifteen thousand, eight hundred one".