829181909100 has 36 divisors (see below), whose sum is σ = 2399099657864. Its totient is φ = 221115175680.

The previous prime is 829181909081. The next prime is 829181909131. The reversal of 829181909100 is 1909181928.

It is a self number, because there is not a number n which added to its sum of digits gives 829181909100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1381969549 + ... + 1381970148.

Almost surely, 2^829181909100 is an apocalyptic number.

It is an amenable number.

829181909100 is an abundant number, since it is smaller than the sum of its proper divisors (1569917748764).

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

829181909100 is a wasteful number, since it uses less digits than its factorization.

829181909100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763939714 (or 2763939707 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 48.

The spelling of 829181909100 in words is "eight hundred twenty-nine billion, one hundred eighty-one million, nine hundred nine thousand, one hundred".