10605132 has 36 divisors (see below), whose sum is σ = 27267240. Its totient is φ = 3474432.

The previous prime is 10605121. The next prime is 10605137. The reversal of 10605132 is 23150601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10605132² = 224937649474848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10605137) 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, 373 + ... + 4620.

Almost surely, 2^10605132 is an apocalyptic number.

10605132 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 10605132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13633620).

10605132 is an abundant number, since it is smaller than the sum of its proper divisors (16662108).

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

10605132 is a wasteful number, since it uses less digits than its factorization.

10605132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5057 counting only the distinct ones).

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

The square root of 10605132 is about 3256.5521644832. The cubic root of 10605132 is about 219.7043687553.

Adding to 10605132 its reverse (23150601), we get a palindrome (33755733).

The spelling of 10605132 in words is "ten million, six hundred five thousand, one hundred thirty-two".