10201032 has 64 divisors (see below), whose sum is σ = 28728000. Its totient is φ = 3353472.

The previous prime is 10201013. The next prime is 10201049. The reversal of 10201032 is 23010201.

It is a happy number.

It is a super-2 number, since 2×10201032² = 208122107730048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17644 + ... + 18212.

It is an arithmetic number, because the mean of its divisors is an integer number (448875).

Almost surely, 2^10201032 is an apocalyptic number.

10201032 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 10201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364000).

10201032 is an abundant number, since it is smaller than the sum of its proper divisors (18526968).

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

10201032 is a wasteful number, since it uses less digits than its factorization.

10201032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10201032 is about 3193.9054463149. The cubic root of 10201032 is about 216.8776023352.

Adding to 10201032 its reverse (23010201), we get a palindrome (33211233).

The spelling of 10201032 in words is "ten million, two hundred one thousand, thirty-two".