10201536 has 84 divisors (see below), whose sum is σ = 29718000. Its totient is φ = 3345408.

The previous prime is 10201519. The next prime is 10201549. The reversal of 10201536 is 63510201.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 51165 + ... + 51363.

Almost surely, 2^10201536 is an apocalyptic number.

10201536 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 10201536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859000).

10201536 is an abundant number, since it is smaller than the sum of its proper divisors (19516464).

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

10201536 is a wasteful number, since it uses less digits than its factorization.

10201536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

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

The square root of 10201536 is about 3193.9843456097. The cubic root of 10201536 is about 216.8811740166.

Adding to 10201536 its reverse (63510201), we get a palindrome (73711737).

It can be divided in two parts, 1020 and 1536, that added together give a triangular number (2556 = T₇₁).

The spelling of 10201536 in words is "ten million, two hundred one thousand, five hundred thirty-six".