10506357 has 12 divisors (see below), whose sum is σ = 16068780. Its totient is φ = 6592128.

The previous prime is 10506347. The next prime is 10506359. The reversal of 10506357 is 75360501.

It can be written as a sum of positive squares in 2 ways, for example, as 9790641 + 715716 = 3129^2 + 846^2 .

It is not a de Polignac number, because 10506357 - 2²⁰ = 9457781 is a prime.

It is a super-2 number, since 2×10506357² = 220767074822898, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10506357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34182 + ... + 34487.

It is an arithmetic number, because the mean of its divisors is an integer number (1339065).

Almost surely, 2^10506357 is an apocalyptic number.

10506357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10506357 is a deficient number, since it is larger than the sum of its proper divisors (5562423).

10506357 is a wasteful number, since it uses less digits than its factorization.

10506357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68692 (or 68689 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 10506357 is about 3241.3511071774. The cubic root of 10506357 is about 219.0201395127.

Adding to 10506357 its reverse (75360501), we get a palindrome (85866858).

The spelling of 10506357 in words is "ten million, five hundred six thousand, three hundred fifty-seven".