10575104 has 36 divisors (see below), whose sum is σ = 21370020. Its totient is φ = 5222400.

The previous prime is 10575091. The next prime is 10575107. The reversal of 10575104 is 40157501.

It can be written as a sum of positive squares in 2 ways, for example, as 9935104 + 640000 = 3152^2 + 800^2 .

It is a super-2 number, since 2×10575104² = 223665649221632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10575104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10575107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25652 + ... + 26060.

Almost surely, 2^10575104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10575104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10685010).

10575104 is an abundant number, since it is smaller than the sum of its proper divisors (10794916).

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

10575104 is an equidigital number, since it uses as much as digits as its factorization.

10575104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 10575104 is about 3251.9384988034. The cubic root of 10575104 is about 219.4968114065.

The spelling of 10575104 in words is "ten million, five hundred seventy-five thousand, one hundred four".