10201152 has 112 divisors (see below), whose sum is σ = 29984192. Its totient is φ = 3041280.

The previous prime is 10201151. The next prime is 10201171. The reversal of 10201152 is 25110201.

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

It is not an unprimeable number, because it can be changed into a prime (10201151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152223 + ... + 152289.

It is an arithmetic number, because the mean of its divisors is an integer number (267716).

Almost surely, 2^10201152 is an apocalyptic number.

10201152 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 10201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14992096).

10201152 is an abundant number, since it is smaller than the sum of its proper divisors (19783040).

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

10201152 is a wasteful number, since it uses less digits than its factorization.

10201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 10201152 is about 3193.9242320381. The cubic root of 10201152 is about 216.8784527462.

Adding to 10201152 its reverse (25110201), we get a palindrome (35311353).

The spelling of 10201152 in words is "ten million, two hundred one thousand, one hundred fifty-two".