10144200105 has 96 divisors (see below), whose sum is σ = 19813852800. Its totient is φ = 4893737472.

The previous prime is 10144200061. The next prime is 10144200107. The reversal of 10144200105 is 50100244101.

It is not a de Polignac number, because 10144200105 - 2⁶ = 10144200041 is a prime.

It is a super-2 number, since 2×10144200105² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10144200107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32409429 + ... + 32409741.

It is an arithmetic number, because the mean of its divisors is an integer number (206394300).

Almost surely, 2^10144200105 is an apocalyptic number.

10144200105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10144200105 is a deficient number, since it is larger than the sum of its proper divisors (9669652695).

10144200105 is an equidigital number, since it uses as much as digits as its factorization.

10144200105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10144200105 its reverse (50100244101), we get a palindrome (60244444206).

The spelling of 10144200105 in words is "ten billion, one hundred forty-four million, two hundred thousand, one hundred five".