20101536 has 216 divisors, whose sum is σ = 71940960. Its totient is φ = 5211648.

The previous prime is 20101519. The next prime is 20101537. The reversal of 20101536 is 63510102.

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

It is not an unprimeable number, because it can be changed into a prime (20101537) 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 35 ways as a sum of consecutive naturals, for example, 340675 + ... + 340733.

It is an arithmetic number, because the mean of its divisors is an integer number (333060).

Almost surely, 2^20101536 is an apocalyptic number.

20101536 is a gapful number since it is divisible by the number (26) 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 20101536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35970480).

20101536 is an abundant number, since it is smaller than the sum of its proper divisors (51839424).

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

20101536 is a wasteful number, since it uses less digits than its factorization.

20101536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 20101536 is about 4483.4736533184. The cubic root of 20101536 is about 271.9003383439.

Adding to 20101536 its reverse (63510102), we get a palindrome (83611638).

The spelling of 20101536 in words is "twenty million, one hundred one thousand, five hundred thirty-six".