10132003434 has 64 divisors (see below), whose sum is σ = 24600036096. Its totient is φ = 2715807744.

The previous prime is 10132003433. The next prime is 10132003457. The reversal of 10132003434 is 43430023101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10132003434.

It is not an unprimeable number, because it can be changed into a prime (10132003433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200814 + ... + 246150.

It is an arithmetic number, because the mean of its divisors is an integer number (384375564).

Almost surely, 2^10132003434 is an apocalyptic number.

10132003434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132003434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300018048).

10132003434 is an abundant number, since it is smaller than the sum of its proper divisors (14468032662).

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

10132003434 is a wasteful number, since it uses less digits than its factorization.

10132003434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45679.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10132003434 its reverse (43430023101), we get a palindrome (53562026535).

The spelling of 10132003434 in words is "ten billion, one hundred thirty-two million, three thousand, four hundred thirty-four".