10506153 has 16 divisors (see below), whose sum is σ = 16951680. Its totient is φ = 5650176.

The previous prime is 10506079. The next prime is 10506169. The reversal of 10506153 is 35160501.

It is a happy number.

It is not a de Polignac number, because 10506153 - 2¹⁰ = 10505129 is a prime.

It is a super-2 number, since 2×10506153² = 220758501718818, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10506173) 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 15 ways as a sum of consecutive naturals, for example, 14358 + ... + 15071.

It is an arithmetic number, because the mean of its divisors is an integer number (1059480).

Almost surely, 2^10506153 is an apocalyptic number.

It is an amenable number.

10506153 is a deficient number, since it is larger than the sum of its proper divisors (6445527).

10506153 is a wasteful number, since it uses less digits than its factorization.

10506153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29456.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 10506153 is about 3241.3196386657. The cubic root of 10506153 is about 219.0187219457.

Adding to 10506153 its reverse (35160501), we get a palindrome (45666654).

The spelling of 10506153 in words is "ten million, five hundred six thousand, one hundred fifty-three".