10201632 has 192 divisors, whose sum is σ = 34836480. Its totient is φ = 2543616.

The previous prime is 10201589. The next prime is 10201643. The reversal of 10201632 is 23610201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217033 + ... + 217079.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^10201632 is an apocalyptic number.

10201632 is a gapful number since it is divisible by the number (12) 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 10201632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

10201632 is an abundant number, since it is smaller than the sum of its proper divisors (24634848).

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

10201632 is a wasteful number, since it uses less digits than its factorization.

10201632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10201632 is about 3193.9993738259. Note that the first 3 decimals coincide. The cubic root of 10201632 is about 216.8818543236.

Adding to 10201632 its reverse (23610201), we get a palindrome (33811833).

The spelling of 10201632 in words is "ten million, two hundred one thousand, six hundred thirty-two".