10129070832 has 240 divisors, whose sum is σ = 29601676800. Its totient is φ = 2977255424.

The previous prime is 10129070803. The next prime is 10129070843. The reversal of 10129070832 is 23807092101.

It is a junction number, because it is equal to n+sod(n) for n = 10129070793 and 10129070802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16909669 + ... + 16910267.

It is an arithmetic number, because the mean of its divisors is an integer number (123340320).

Almost surely, 2^10129070832 is an apocalyptic number.

10129070832 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 10129070832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14800838400).

10129070832 is an abundant number, since it is smaller than the sum of its proper divisors (19472605968).

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

10129070832 is a wasteful number, since it uses less digits than its factorization.

10129070832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 10129070832 in words is "ten billion, one hundred twenty-nine million, seventy thousand, eight hundred thirty-two".