10435031104 has 35 divisors (see below), whose sum is σ = 20891898907. Its totient is φ = 5171342848.

The previous prime is 10435031093. The next prime is 10435031129. The reversal of 10435031104 is 40113053401.

The square root of 10435031104 is 102152.

It is a perfect power (a square), and thus also a powerful number.

10435031104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9712496704 + 722534400 = 98552^2 + 26880^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=226.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 92345352 + ... + 92345464.

Almost surely, 2^10435031104 is an apocalyptic number.

10435031104 is the 102152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10435031104

10435031104 is an abundant number, since it is smaller than the sum of its proper divisors (10456867803).

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

10435031104 is an frugal number, since it uses more digits than its factorization.

10435031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 10435031104 its reverse (40113053401), we get a palindrome (50548084505).

The spelling of 10435031104 in words is "ten billion, four hundred thirty-five million, thirty-one thousand, one hundred four".