10506132 has 96 divisors (see below), whose sum is σ = 33555200. Its totient is φ = 2768256.

The previous prime is 10506079. The next prime is 10506169. The reversal of 10506132 is 23160501.

10506132 is a `hidden beast` number, since 1 + 0 + 50 + 613 + 2 = 666.

It is a super-2 number, since 2×10506132² = 220757619202848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9294 + ... + 10362.

Almost surely, 2^10506132 is an apocalyptic number.

10506132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777600).

10506132 is an abundant number, since it is smaller than the sum of its proper divisors (23049068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10506132 is a wasteful number, since it uses less digits than its factorization.

10506132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10506132 is about 3241.3163992428. The cubic root of 10506132 is about 219.0185760186.

Adding to 10506132 its reverse (23160501), we get a palindrome (33666633).

The spelling of 10506132 in words is "ten million, five hundred six thousand, one hundred thirty-two".