10432200105 has 24 divisors (see below), whose sum is σ = 18523519560. Its totient is φ = 5428135680.

The previous prime is 10432200083. The next prime is 10432200113. The reversal of 10432200105 is 50100223401.

It can be written as a sum of positive squares in 4 ways, for example, as 106998336 + 10325201769 = 10344^2 + 101613^2 .

It is not a de Polignac number, because 10432200105 - 2⁹ = 10432199593 is a prime.

It is a super-2 number, since 2×10432200105² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2825310 + ... + 2828999.

It is an arithmetic number, because the mean of its divisors is an integer number (771813315).

Almost surely, 2^10432200105 is an apocalyptic number.

10432200105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10432200105 is a deficient number, since it is larger than the sum of its proper divisors (8091319455).

10432200105 is a wasteful number, since it uses less digits than its factorization.

10432200105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654361 (or 5654358 counting only the distinct ones).

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

Adding to 10432200105 its reverse (50100223401), we get a palindrome (60532423506).

The spelling of 10432200105 in words is "ten billion, four hundred thirty-two million, two hundred thousand, one hundred five".