10144010205 has 48 divisors (see below), whose sum is σ = 20185052160. Its totient is φ = 4616434944.

The previous prime is 10144010167. The next prime is 10144010231. The reversal of 10144010205 is 50201044101.

10144010205 is a `hidden beast` number, since 10 + 1 + 440 + 10 + 205 = 666.

It is not a de Polignac number, because 10144010205 - 2⁸ = 10144009949 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1960 + ... + 142449.

It is an arithmetic number, because the mean of its divisors is an integer number (420521920).

Almost surely, 2^10144010205 is an apocalyptic number.

10144010205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10144010205 is a deficient number, since it is larger than the sum of its proper divisors (10041041955).

10144010205 is a wasteful number, since it uses less digits than its factorization.

10144010205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144650 (or 144647 counting only the distinct ones).

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

Adding to 10144010205 its reverse (50201044101), we get a palindrome (60345054306).

The spelling of 10144010205 in words is "ten billion, one hundred forty-four million, ten thousand, two hundred five".