100829853850 has 48 divisors (see below), whose sum is σ = 204786955296. Its totient is φ = 36630632000.

The previous prime is 100829853821. The next prime is 100829853857. The reversal of 100829853850 is 58358928001.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100829853794 and 100829853803.

It is not an unprimeable number, because it can be changed into a prime (100829853857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497157 + ... + 669943.

It is an arithmetic number, because the mean of its divisors is an integer number (4266394902).

Almost surely, 2^100829853850 is an apocalyptic number.

100829853850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100829853850 is an abundant number, since it is smaller than the sum of its proper divisors (103957101446).

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

100829853850 is a wasteful number, since it uses less digits than its factorization.

100829853850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173871 (or 173866 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

The spelling of 100829853850 in words is "one hundred billion, eight hundred twenty-nine million, eight hundred fifty-three thousand, eight hundred fifty".