10053972 has 36 divisors (see below), whose sum is σ = 25523316. Its totient is φ = 3336960.

The previous prime is 10053971. The next prime is 10053977. The reversal of 10053972 is 27935001.

It can be written as a sum of positive squares in 2 ways, for example, as 1089936 + 8964036 = 1044^2 + 2994^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053971) 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 11 ways as a sum of consecutive naturals, for example, 10972 + ... + 11852.

It is an arithmetic number, because the mean of its divisors is an integer number (708981).

Almost surely, 2^10053972 is an apocalyptic number.

10053972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10053972 is an abundant number, since it is smaller than the sum of its proper divisors (15469344).

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

10053972 is a wasteful number, since it uses less digits than its factorization.

10053972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 10053972 is about 3170.7998990791. The cubic root of 10053972 is about 215.8303709370.

Adding to 10053972 its reverse (27935001), we get a palindrome (37988973).

It can be divided in two parts, 10053 and 972, that added together give a square (11025 = 105²).

The spelling of 10053972 in words is "ten million, fifty-three thousand, nine hundred seventy-two".