100829449344 has 256 divisors, whose sum is σ = 292841902080. Its totient is φ = 30553915392.

The previous prime is 100829449333. The next prime is 100829449349. The reversal of 100829449344 is 443944928001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 100829449293 and 100829449302.

It is not an unprimeable number, because it can be changed into a prime (100829449349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 99534982 + ... + 99535994.

It is an arithmetic number, because the mean of its divisors is an integer number (1143913680).

Almost surely, 2^100829449344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100829449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146420951040).

100829449344 is an abundant number, since it is smaller than the sum of its proper divisors (192012452736).

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

100829449344 is a wasteful number, since it uses less digits than its factorization.

100829449344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 100829449344 in words is "one hundred billion, eight hundred twenty-nine million, four hundred forty-nine thousand, three hundred forty-four".