10626057 has 12 divisors (see below), whose sum is σ = 16529604. Its totient is φ = 6539040.

The previous prime is 10626047. The next prime is 10626061. The reversal of 10626057 is 75062601.

It can be written as a sum of positive squares in 2 ways, for example, as 4016016 + 6610041 = 2004^2 + 2571^2 .

It is not a de Polignac number, because 10626057 - 2¹⁶ = 10560521 is a prime.

It is a super-2 number, since 2×10626057² = 225826174734498, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10626057.

It is not an unprimeable number, because it can be changed into a prime (10626047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45294 + ... + 45527.

It is an arithmetic number, because the mean of its divisors is an integer number (1377467).

Almost surely, 2^10626057 is an apocalyptic number.

It is an amenable number.

10626057 is a deficient number, since it is larger than the sum of its proper divisors (5903547).

10626057 is a wasteful number, since it uses less digits than its factorization.

10626057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90840 (or 90837 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10626057 is about 3259.7633349677. The cubic root of 10626057 is about 219.8487734822.

Adding to 10626057 its reverse (75062601), we get a palindrome (85688658).

The spelling of 10626057 in words is "ten million, six hundred twenty-six thousand, fifty-seven".