10054132000 has 144 divisors (see below), whose sum is σ = 27154193976. Its totient is φ = 3655872000.

The previous prime is 10054131977. The next prime is 10054132013. The reversal of 10054132000 is 23145001.

It can be written as a sum of positive squares in 4 ways, for example, as 5575310224 + 4478821776 = 74668^2 + 66924^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473614 + ... + 494386.

Almost surely, 2^10054132000 is an apocalyptic number.

10054132000 is a gapful number since it is divisible by the number (10) 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 10054132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13577096988).

10054132000 is an abundant number, since it is smaller than the sum of its proper divisors (17100061976).

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

10054132000 is a wasteful number, since it uses less digits than its factorization.

10054132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20820 (or 20791 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 10054132000 its reverse (23145001), we get a palindrome (10077277001).

The spelling of 10054132000 in words is "ten billion, fifty-four million, one hundred thirty-two thousand".