10052964 has 24 divisors (see below), whose sum is σ = 26063520. Its totient is φ = 3350952.

The previous prime is 10052963. The next prime is 10052981. The reversal of 10052964 is 46925001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10052963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46434 + ... + 46649.

It is an arithmetic number, because the mean of its divisors is an integer number (1085980).

Almost surely, 2^10052964 is an apocalyptic number.

It is an amenable number.

10052964 is an abundant number, since it is smaller than the sum of its proper divisors (16010556).

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

10052964 is a wasteful number, since it uses less digits than its factorization.

10052964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93096 (or 93088 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10052964 is about 3170.6409446672. The cubic root of 10052964 is about 215.8231577254.

Adding to 10052964 its reverse (46925001), we get a palindrome (56977965).

It can be divided in two parts, 1005 and 2964, that added together give a square (3969 = 63²).

The spelling of 10052964 in words is "ten million, fifty-two thousand, nine hundred sixty-four".