10344132100 has 18 divisors (see below), whose sum is σ = 22446766874. Its totient is φ = 4137652800.

The previous prime is 10344132053. The next prime is 10344132109. The reversal of 10344132100 is 123144301.

It can be written as a sum of positive squares in 3 ways, for example, as 235438336 + 10108693764 = 15344^2 + 100542^2 .

It is not an unprimeable number, because it can be changed into a prime (10344132109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51720561 + ... + 51720760.

Almost surely, 2^10344132100 is an apocalyptic number.

10344132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344132100 is an abundant number, since it is smaller than the sum of its proper divisors (12102634774).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10344132100 is a wasteful number, since it uses less digits than its factorization.

10344132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103441335 (or 103441328 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10344132100 its reverse (123144301), we get a palindrome (10467276401).

The spelling of 10344132100 in words is "ten billion, three hundred forty-four million, one hundred thirty-two thousand, one hundred".