100137 has 8 divisors (see below), whose sum is σ = 138240. Its totient is φ = 64400.

The previous prime is 100129. The next prime is 100151. The reversal of 100137 is 731001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100137 - 2³ = 100129 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100137.

It is not an unprimeable number, because it can be changed into a prime (100237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2¹⁰⁰¹³⁷ is an apocalyptic number.

It is an amenable number.

100137 is a deficient number, since it is larger than the sum of its proper divisors (38103).

100137 is a wasteful number, since it uses less digits than its factorization.

100137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 100137 is about 316.4443078964. Note that the first 3 decimals coincide. The cubic root of 100137 is about 46.4370752527.

Adding to 100137 its reverse (731001), we get a palindrome (831138).

The spelling of 100137 in words is "one hundred thousand, one hundred thirty-seven".