105881805 has 48 divisors (see below), whose sum is σ = 187858944. Its totient is φ = 55157760.

The previous prime is 105881779. The next prime is 105881821. The reversal of 105881805 is 508188501.

It is not a de Polignac number, because 105881805 - 2⁵ = 105881773 is a prime.

It is a super-2 number, since 2×105881805² = 22421913260116050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105881805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554260 + ... + 554450.

It is an arithmetic number, because the mean of its divisors is an integer number (3913728).

Almost surely, 2^105881805 is an apocalyptic number.

105881805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105881805 is a deficient number, since it is larger than the sum of its proper divisors (81977139).

105881805 is a wasteful number, since it uses less digits than its factorization.

105881805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 423 counting only the distinct ones).

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

The square root of 105881805 is about 10289.8884833607. Note that the first 3 decimals coincide. The cubic root of 105881805 is about 473.0863804147.

The spelling of 105881805 in words is "one hundred five million, eight hundred eighty-one thousand, eight hundred five".