101557 has 4 divisors (see below), whose sum is σ = 104076. Its totient is φ = 99040.

The previous prime is 101537. The next prime is 101561. The reversal of 101557 is 755101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 755101 = 197 ⋅3833.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 77841 = 154^2 + 279^2 .

It is a cyclic number.

It is not a de Polignac number, because 101557 - 2⁷ = 101429 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 (101527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1198 + ... + 1279.

It is an arithmetic number, because the mean of its divisors is an integer number (26019).

2¹⁰¹⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

101557 is a deficient number, since it is larger than the sum of its proper divisors (2519).

101557 is an equidigital number, since it uses as much as digits as its factorization.

101557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518.

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 101557 is about 318.6800903728. The cubic root of 101557 is about 46.6555472374.

Adding to 101557 its reverse (755101), we get a palindrome (856658).

The spelling of 101557 in words is "one hundred one thousand, five hundred fifty-seven".