100829657088 has 192 divisors, whose sum is σ = 299242944000. Its totient is φ = 33546756096.

The previous prime is 100829657077. The next prime is 100829657143. The reversal of 100829657088 is 880756928001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36438681 + ... + 36441447.

It is an arithmetic number, because the mean of its divisors is an integer number (1558557000).

Almost surely, 2^100829657088 is an apocalyptic number.

100829657088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100829657088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149621472000).

100829657088 is an abundant number, since it is smaller than the sum of its proper divisors (198413286912).

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

100829657088 is an equidigital number, since it uses as much as digits as its factorization.

100829657088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 100829657088 in words is "one hundred billion, eight hundred twenty-nine million, six hundred fifty-seven thousand, eighty-eight".