10165072149 has 24 divisors (see below), whose sum is σ = 15047050200. Its totient is φ = 6608770560.

The previous prime is 10165072139. The next prime is 10165072207. The reversal of 10165072149 is 94127056101.

10165072149 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 507 + 2 + 149 = 666.

10165072149 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 676364049 + 9488708100 = 26007^2 + 97410^2 .

It is not a de Polignac number, because 10165072149 - 2⁴ = 10165072133 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165072139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1387107 + ... + 1394415.

It is an arithmetic number, because the mean of its divisors is an integer number (626960425).

Almost surely, 2^10165072149 is an apocalyptic number.

It is an amenable number.

10165072149 is a deficient number, since it is larger than the sum of its proper divisors (4881978051).

10165072149 is a wasteful number, since it uses less digits than its factorization.

10165072149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11122 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10165072149 in words is "ten billion, one hundred sixty-five million, seventy-two thousand, one hundred forty-nine".