10137870117 has 32 divisors (see below), whose sum is σ = 16081286400. Its totient is φ = 6289519104.

The previous prime is 10137870107. The next prime is 10137870121. The reversal of 10137870117 is 71107873101.

10137870117 is a `hidden beast` number, since 101 + 378 + 70 + 117 = 666.

10137870117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10137870117 - 2⁶ = 10137870053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137870107) 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 31 ways as a sum of consecutive naturals, for example, 83233 + ... + 164934.

It is an arithmetic number, because the mean of its divisors is an integer number (502540200).

Almost surely, 2^10137870117 is an apocalyptic number.

10137870117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10137870117 is a deficient number, since it is larger than the sum of its proper divisors (5943416283).

10137870117 is a wasteful number, since it uses less digits than its factorization.

10137870117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248282 (or 248276 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 36.

The spelling of 10137870117 in words is "ten billion, one hundred thirty-seven million, eight hundred seventy thousand, one hundred seventeen".