10435104 has 72 divisors (see below), whose sum is σ = 31253040. Its totient is φ = 3293568.

The previous prime is 10435091. The next prime is 10435129. The reversal of 10435104 is 40153401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4519 + ... + 6425.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 2^10435104 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 10435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15626520).

10435104 is an abundant number, since it is smaller than the sum of its proper divisors (20817936).

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

10435104 is a wasteful number, since it uses less digits than its factorization.

10435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10435104 is about 3230.3411584537. The cubic root of 10435104 is about 218.5238921906.

Adding to 10435104 its reverse (40153401), we get a palindrome (50588505).

The spelling of 10435104 in words is "ten million, four hundred thirty-five thousand, one hundred four".