10137829107 has 32 divisors (see below), whose sum is σ = 16287846400. Its totient is φ = 5479148448.

The previous prime is 10137829099. The next prime is 10137829109. The reversal of 10137829107 is 70192873101.

It is not a de Polignac number, because 10137829107 - 2³ = 10137829099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10137829109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226458 + ... + 267504.

It is an arithmetic number, because the mean of its divisors is an integer number (508995200).

Almost surely, 2^10137829107 is an apocalyptic number.

10137829107 is a deficient number, since it is larger than the sum of its proper divisors (6150017293).

10137829107 is a wasteful number, since it uses less digits than its factorization.

10137829107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41695.

The product of its (nonzero) digits is 21168, while the sum is 39.

The spelling of 10137829107 in words is "ten billion, one hundred thirty-seven million, eight hundred twenty-nine thousand, one hundred seven".