10114137 has 36 divisors (see below), whose sum is σ = 16879824. Its totient is φ = 5786640.

The previous prime is 10114129. The next prime is 10114141. The reversal of 10114137 is 73141101.

It is not a de Polignac number, because 10114137 - 2³ = 10114129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10114157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35598 + ... + 35880.

It is an arithmetic number, because the mean of its divisors is an integer number (468884).

Almost surely, 2^10114137 is an apocalyptic number.

It is an amenable number.

10114137 is a deficient number, since it is larger than the sum of its proper divisors (6765687).

10114137 is a wasteful number, since it uses less digits than its factorization.

10114137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10114137 is about 3180.2731014804. The cubic root of 10114137 is about 216.2600391833.

Adding to 10114137 its reverse (73141101), we get a palindrome (83255238).

The spelling of 10114137 in words is "ten million, one hundred fourteen thousand, one hundred thirty-seven".