101357 has 4 divisors (see below), whose sum is σ = 102720. Its totient is φ = 99996.

The previous prime is 101347. The next prime is 101359. The reversal of 101357 is 753101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 753101 = 29 ⋅25969.

It is a cyclic number.

It is not a de Polignac number, because 101357 - 2⁴ = 101341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101359) 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 3 ways as a sum of consecutive naturals, for example, 563 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (25680).

2¹⁰¹³⁵⁷ is an apocalyptic number.

It is an amenable number.

101357 is a deficient number, since it is larger than the sum of its proper divisors (1363).

101357 is an equidigital number, since it uses as much as digits as its factorization.

101357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362.

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

The square root of 101357 is about 318.3661414158. The cubic root of 101357 is about 46.6249002722.

Adding to 101357 its reverse (753101), we get a palindrome (854458).

The spelling of 101357 in words is "one hundred one thousand, three hundred fifty-seven".