10507152 has 80 divisors (see below), whose sum is σ = 29373120. Its totient is φ = 3225600.

The previous prime is 10507151. The next prime is 10507153. The reversal of 10507152 is 25170501.

It is an interprime number because it is at equal distance from previous prime (10507151) and next prime (10507153).

It is a super-2 number, since 2×10507152² = 220800486302208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10507151) 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, 37252 + ... + 37532.

It is an arithmetic number, because the mean of its divisors is an integer number (367164).

Almost surely, 2^10507152 is an apocalyptic number.

10507152 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 10507152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14686560).

10507152 is an abundant number, since it is smaller than the sum of its proper divisors (18865968).

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

10507152 is a wasteful number, since it uses less digits than its factorization.

10507152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 10507152 is about 3241.4737389033. The cubic root of 10507152 is about 219.0256636800.

Adding to 10507152 its reverse (25170501), we get a palindrome (35677653).

The spelling of 10507152 in words is "ten million, five hundred seven thousand, one hundred fifty-two".