10507952 has 60 divisors (see below), whose sum is σ = 25529616. Its totient is φ = 4152960.

The previous prime is 10507951. The next prime is 10507993. The reversal of 10507952 is 25970501.

It is a super-2 number, since 2×10507952² = 220834110468608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10507951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9677 + ... + 10707.

Almost surely, 2^10507952 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 10507952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12764808).

10507952 is an abundant number, since it is smaller than the sum of its proper divisors (15021664).

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

10507952 is a wasteful number, since it uses less digits than its factorization.

10507952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 10507952 is about 3241.5971372149. The cubic root of 10507952 is about 219.0312223091.

The spelling of 10507952 in words is "ten million, five hundred seven thousand, nine hundred fifty-two".