10004280132 has 96 divisors (see below), whose sum is σ = 29145037824. Its totient is φ = 2594793600.

The previous prime is 10004280131. The next prime is 10004280137. The reversal of 10004280132 is 23108240001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10004280099 and 10004280108.

It is not an unprimeable number, because it can be changed into a prime (10004280131) 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, 669907 + ... + 684677.

It is an arithmetic number, because the mean of its divisors is an integer number (303594144).

Almost surely, 2^10004280132 is an apocalyptic number.

10004280132 is a gapful number since it is divisible by the number (12) 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 10004280132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572518912).

10004280132 is an abundant number, since it is smaller than the sum of its proper divisors (19140757692).

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

10004280132 is a wasteful number, since it uses less digits than its factorization.

10004280132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15529 (or 15527 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 10004280132 in words is "ten billion, four million, two hundred eighty thousand, one hundred thirty-two".