10542952 has 32 divisors (see below), whose sum is σ = 22910400. Its totient is φ = 4454784.

The previous prime is 10542937. The next prime is 10542953. The reversal of 10542952 is 25924501.

10542952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10542952² = 222307673748608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10542952.

It is not an unprimeable number, because it can be changed into a prime (10542953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2799 + ... + 5377.

It is an arithmetic number, because the mean of its divisors is an integer number (715950).

Almost surely, 2^10542952 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 10542952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11455200).

10542952 is an abundant number, since it is smaller than the sum of its proper divisors (12367448).

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

10542952 is a wasteful number, since it uses less digits than its factorization.

10542952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 10542952 is about 3246.9912226552. The cubic root of 10542952 is about 219.2741366614.

The spelling of 10542952 in words is "ten million, five hundred forty-two thousand, nine hundred fifty-two".