10506127 has 8 divisors (see below), whose sum is σ = 10840032. Its totient is φ = 10176000.

The previous prime is 10506079. The next prime is 10506169. The reversal of 10506127 is 72160501.

10506127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10506127 is a prime.

It is a super-2 number, since 2×10506127² = 220757409080258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10506098 and 10506107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5343 + ... + 7039.

It is an arithmetic number, because the mean of its divisors is an integer number (1355004).

Almost surely, 2^10506127 is an apocalyptic number.

10506127 is a deficient number, since it is larger than the sum of its proper divisors (333905).

10506127 is a wasteful number, since it uses less digits than its factorization.

10506127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 10506127 is about 3241.3156279511. The cubic root of 10506127 is about 219.0185412740.

Adding to 10506127 its reverse (72160501), we get a palindrome (82666628).

The spelling of 10506127 in words is "ten million, five hundred six thousand, one hundred twenty-seven".