10510752 has 48 divisors (see below), whose sum is σ = 31534272. Its totient is φ = 3002880.

The previous prime is 10510741. The next prime is 10510757. The reversal of 10510752 is 25701501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10510752² = 220951815211008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10510757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7149 + ... + 8492.

It is an arithmetic number, because the mean of its divisors is an integer number (656964).

Almost surely, 2^10510752 is an apocalyptic number.

10510752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10510752 is an abundant number, since it is smaller than the sum of its proper divisors (21023520).

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

10510752 is a wasteful number, since it uses less digits than its factorization.

10510752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15661 (or 15653 counting only the distinct ones).

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

The square root of 10510752 is about 3242.0289943182. The cubic root of 10510752 is about 219.0506752897.

The spelling of 10510752 in words is "ten million, five hundred ten thousand, seven hundred fifty-two".