105423201 has 40 divisors (see below), whose sum is σ = 172889640. Its totient is φ = 63618048.

The previous prime is 105423193. The next prime is 105423203. The reversal of 105423201 is 102324501.

It can be written as a sum of positive squares in 4 ways, for example, as 9363600 + 96059601 = 3060^2 + 9801^2 .

It is not a de Polignac number, because 105423201 - 2³ = 105423193 is a prime.

It is a super-2 number, since 2×105423201² = 22228102618172802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105423203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54865 + ... + 56753.

It is an arithmetic number, because the mean of its divisors is an integer number (4322241).

Almost surely, 2^105423201 is an apocalyptic number.

It is an amenable number.

105423201 is a deficient number, since it is larger than the sum of its proper divisors (67466439).

105423201 is a wasteful number, since it uses less digits than its factorization.

105423201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105423201 is about 10267.5800946474. The cubic root of 105423201 is about 472.4023683389.

Adding to 105423201 its reverse (102324501), we get a palindrome (207747702).

The spelling of 105423201 in words is "one hundred five million, four hundred twenty-three thousand, two hundred one".