101556 has 72 divisors (see below), whose sum is σ = 326144. Its totient is φ = 25920.

The previous prime is 101537. The next prime is 101561. The reversal of 101556 is 655101.

101556 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×101556² = 20627242272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

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 101556.

It is an unprimeable number.

101556 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3261 + ... + 3291.

2¹⁰¹⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163072).

101556 is an abundant number, since it is smaller than the sum of its proper divisors (224588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101556 is a wasteful number, since it uses less digits than its factorization.

101556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 101556 is about 318.6785213973. The cubic root of 101556 is about 46.6553941027.

Adding to 101556 its reverse (655101), we get a palindrome (756657).

The spelling of 101556 in words is "one hundred one thousand, five hundred fifty-six".