10132004988 has 144 divisors (see below), whose sum is σ = 31885781760. Its totient is φ = 2768961888.

The previous prime is 10132004983. The next prime is 10132005029. The reversal of 10132004988 is 88940023101.

10132004988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132004983) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 80095 + ... + 163337.

It is an arithmetic number, because the mean of its divisors is an integer number (221429040).

Almost surely, 2^10132004988 is an apocalyptic number.

10132004988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132004988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15942890880).

10132004988 is an abundant number, since it is smaller than the sum of its proper divisors (21753776772).

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

10132004988 is a wasteful number, since it uses less digits than its factorization.

10132004988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83293 (or 83278 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10132004988 in words is "ten billion, one hundred thirty-two million, four thousand, nine hundred eighty-eight".