10401152 has 32 divisors (see below), whose sum is σ = 21628080. Its totient is φ = 4973056.

The previous prime is 10401137. The next prime is 10401187. The reversal of 10401152 is 25110401.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 1178 + ... + 4710.

Almost surely, 2^10401152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814040).

10401152 is an abundant number, since it is smaller than the sum of its proper divisors (11226928).

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

10401152 is an equidigital number, since it uses as much as digits as its factorization.

10401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 10401152 is about 3225.0817043914. The cubic root of 10401152 is about 218.2866358313.

Adding to 10401152 its reverse (25110401), we get a palindrome (35511553).

The spelling of 10401152 in words is "ten million, four hundred one thousand, one hundred fifty-two".