105800955 has 32 divisors (see below), whose sum is σ = 183085056. Its totient is φ = 51863424.

The previous prime is 105800927. The next prime is 105800957. The reversal of 105800955 is 559008501.

It is not a de Polignac number, because 105800955 - 2⁸ = 105800699 is a prime.

It is a super-2 number, since 2×105800955² = 22387684157824050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105800957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50254 + ... + 52316.

It is an arithmetic number, because the mean of its divisors is an integer number (5721408).

Almost surely, 2^105800955 is an apocalyptic number.

105800955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105800955 is a deficient number, since it is larger than the sum of its proper divisors (77284101).

105800955 is a wasteful number, since it uses less digits than its factorization.

105800955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347.

The product of its (nonzero) digits is 9000, while the sum is 33.

The square root of 105800955 is about 10285.9591191099. The cubic root of 105800955 is about 472.9659355045.

The spelling of 105800955 in words is "one hundred five million, eight hundred thousand, nine hundred fifty-five".