10084631130 has 96 divisors (see below), whose sum is σ = 29999369088. Its totient is φ = 2302473600.

The previous prime is 10084631119. The next prime is 10084631177. The reversal of 10084631130 is 3113648001.

10084631130 is a `hidden beast` number, since 10 + 0 + 8 + 4 + 631 + 13 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10084631094 and 10084631103.

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, 584325 + ... + 601335.

It is an arithmetic number, because the mean of its divisors is an integer number (312493428).

Almost surely, 2^10084631130 is an apocalyptic number.

10084631130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10084631130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999684544).

10084631130 is an abundant number, since it is smaller than the sum of its proper divisors (19914737958).

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

10084631130 is a wasteful number, since it uses less digits than its factorization.

10084631130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17972 (or 17969 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10084631130 in words is "ten billion, eighty-four million, six hundred thirty-one thousand, one hundred thirty".