10437057 has 12 divisors (see below), whose sum is σ = 15103764. Its totient is φ = 6945120.

The previous prime is 10437047. The next prime is 10437073. The reversal of 10437057 is 75073401.

It can be written as a sum of positive squares in 2 ways, for example, as 9054081 + 1382976 = 3009^2 + 1176^2 .

It is not a de Polignac number, because 10437057 - 2¹⁶ = 10371521 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10437057.

It is not an unprimeable number, because it can be changed into a prime (10437017) 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, 9003 + ... + 10095.

It is an arithmetic number, because the mean of its divisors is an integer number (1258647).

Almost surely, 2^10437057 is an apocalyptic number.

It is an amenable number.

10437057 is a deficient number, since it is larger than the sum of its proper divisors (4666707).

10437057 is a wasteful number, since it uses less digits than its factorization.

10437057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 10437057 is about 3230.6434343641. The cubic root of 10437057 is about 218.5375240796.

It can be divided in two parts, 1043 and 7057, that added together give a square (8100 = 90²).

The spelling of 10437057 in words is "ten million, four hundred thirty-seven thousand, fifty-seven".