101936 has 20 divisors (see below), whose sum is σ = 206832. Its totient is φ = 48576.

The previous prime is 101929. The next prime is 101939. The reversal of 101936 is 639101.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (101939) by changing a digit.

101936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 230 + ... + 506.

2¹⁰¹⁹³⁶ is an apocalyptic number.

101936 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 101936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103416).

101936 is an abundant number, since it is smaller than the sum of its proper divisors (104896).

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

101936 is a wasteful number, since it uses less digits than its factorization.

101936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 101936 is about 319.2741768449. The cubic root of 101936 is about 46.7135130482.

The spelling of 101936 in words is "one hundred one thousand, nine hundred thirty-six".