101136 has 60 divisors (see below), whose sum is σ = 310992. Its totient is φ = 28224.

The previous prime is 101119. The next prime is 101141. The reversal of 101136 is 631101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

101136 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 11 ways as a sum of consecutive naturals, for example, 2331 + ... + 2373.

2¹⁰¹¹³⁶ is an apocalyptic number.

101136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155496).

101136 is an abundant number, since it is smaller than the sum of its proper divisors (209856).

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

101136 is a wasteful number, since it uses less digits than its factorization.

101136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101136 is about 318.0188673648. The cubic root of 101136 is about 46.5909884519.

Subtracting from 101136 its sum of digits (12), we obtain a square (101124 = 318²).

Adding to 101136 its reverse (631101), we get a palindrome (732237).

The spelling of 101136 in words is "one hundred one thousand, one hundred thirty-six".