105300801 has 6 divisors (see below), whose sum is σ = 152101170. Its totient is φ = 70200528.

The previous prime is 105300791. The next prime is 105300809. The reversal of 105300801 is 108003501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 77422401 + 27878400 = 8799^2 + 5280^2 .

It is not a de Polignac number, because 105300801 - 2⁷ = 105300673 is a prime.

It is a super-2 number, since 2×105300801² = 22176517382483202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105300809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5850036 + ... + 5850053.

It is an arithmetic number, because the mean of its divisors is an integer number (25350195).

Almost surely, 2^105300801 is an apocalyptic number.

It is an amenable number.

105300801 is a deficient number, since it is larger than the sum of its proper divisors (46800369).

105300801 is a wasteful number, since it uses less digits than its factorization.

105300801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700095 (or 11700092 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105300801 is about 10261.6178548999. The cubic root of 105300801 is about 472.2194723490.

The spelling of 105300801 in words is "one hundred five million, three hundred thousand, eight hundred one".