100537 has 2 divisors, whose sum is σ = 100538. Its totient is φ = 100536.

The previous prime is 100523. The next prime is 100547. The reversal of 100537 is 735001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80656 + 19881 = 284^2 + 141^2 .

It is an emirp because it is prime and its reverse (735001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100537 is a prime.

100537 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 100537.

It is not a weakly prime, because it can be changed into another prime (100517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50268 + 50269.

It is an arithmetic number, because the mean of its divisors is an integer number (50269).

2¹⁰⁰⁵³⁷ is an apocalyptic number.

It is an amenable number.

100537 is a deficient number, since it is larger than the sum of its proper divisors (1).

100537 is an equidigital number, since it uses as much as digits as its factorization.

100537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 100537 is about 317.0757007404. The cubic root of 100537 is about 46.4988244972.

Adding to 100537 its reverse (735001), we get a palindrome (835538).

The spelling of 100537 in words is "one hundred thousand, five hundred thirty-seven".