10351152 has 150 divisors (see below), whose sum is σ = 35064348. Its totient is φ = 2939328.

The previous prime is 10351141. The next prime is 10351153. The reversal of 10351152 is 25115301.

10351152 is a `hidden beast` number, since 103 + 511 + 52 = 666.

10351152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10351153) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63423 + ... + 63585.

Almost surely, 2^10351152 is an apocalyptic number.

10351152 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 10351152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17532174).

10351152 is an abundant number, since it is smaller than the sum of its proper divisors (24713196).

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

10351152 is a wasteful number, since it uses less digits than its factorization.

10351152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10351152 is about 3217.3206243705. The cubic root of 10351152 is about 217.9362942657.

Adding to 10351152 its reverse (25115301), we get a palindrome (35466453).

It can be divided in two parts, 1035 and 1152, that added together give a 7-th power (2187 = 3⁷).

The spelling of 10351152 in words is "ten million, three hundred fifty-one thousand, one hundred fifty-two".