10132004034 has 24 divisors (see below), whose sum is σ = 22006365420. Its totient is φ = 3369074688.

The previous prime is 10132004027. The next prime is 10132004041. The reversal of 10132004034 is 43040023101.

10132004034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10132004027) and next prime (10132004041).

It can be written as a sum of positive squares in 2 ways, for example, as 9786155625 + 345848409 = 98925^2 + 18597^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10132003998 and 10132004016.

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 11 ways as a sum of consecutive naturals, for example, 680767 + ... + 695490.

Almost surely, 2^10132004034 is an apocalyptic number.

10132004034 is an abundant number, since it is smaller than the sum of its proper divisors (11874361386).

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

10132004034 is a wasteful number, since it uses less digits than its factorization.

10132004034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376674 (or 1376671 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10132004034 its reverse (43040023101), we get a palindrome (53172027135).

The spelling of 10132004034 in words is "ten billion, one hundred thirty-two million, four thousand, thirty-four".