101537 has 2 divisors, whose sum is σ = 101538. Its totient is φ = 101536.

The previous prime is 101533. The next prime is 101561. The reversal of 101537 is 735101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99856 + 1681 = 316^2 + 41^2 .

It is a cyclic number.

It is not a de Polignac number, because 101537 - 2² = 101533 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101537.

It is not a weakly prime, because it can be changed into another prime (101531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50768 + 50769.

It is an arithmetic number, because the mean of its divisors is an integer number (50769).

2¹⁰¹⁵³⁷ is an apocalyptic number.

It is an amenable number.

101537 is a deficient number, since it is larger than the sum of its proper divisors (1).

101537 is an equidigital number, since it uses as much as digits as its factorization.

101537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 101537 is about 318.6487093964. The cubic root of 101537 is about 46.6524843525.

Adding to 101537 its reverse (735101), we get a palindrome (836638).

The spelling of 101537 in words is "one hundred one thousand, five hundred thirty-seven".