82735629100 has 18 divisors (see below), whose sum is σ = 179536315364. Its totient is φ = 33094251600.

The previous prime is 82735629089. The next prime is 82735629113. The reversal of 82735629100 is 192653728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413678046 + ... + 413678245.

Almost surely, 2^82735629100 is an apocalyptic number.

It is an amenable number.

82735629100 is an abundant number, since it is smaller than the sum of its proper divisors (96800686264).

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

82735629100 is a wasteful number, since it uses less digits than its factorization.

82735629100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827356305 (or 827356298 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 82735629100 in words is "eighty-two billion, seven hundred thirty-five million, six hundred twenty-nine thousand, one hundred".