10605120 has 56 divisors (see below), whose sum is σ = 33674304. Its totient is φ = 2827776.

The previous prime is 10605113. The next prime is 10605121. The reversal of 10605120 is 2150601.

It is a super-2 number, since 2×10605120² = 224937140428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10605120.

It is not an unprimeable number, because it can be changed into a prime (10605121) 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, 4564 + ... + 6483.

Almost surely, 2^10605120 is an apocalyptic number.

10605120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10605120 is an abundant number, since it is smaller than the sum of its proper divisors (23069184).

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

10605120 is a wasteful number, since it uses less digits than its factorization.

10605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11067 (or 11057 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10605120 is about 3256.5503220433. The cubic root of 10605120 is about 219.7042858881.

Adding to 10605120 its reverse (2150601), we get a palindrome (12755721).

The spelling of 10605120 in words is "ten million, six hundred five thousand, one hundred twenty".