100798080 has 128 divisors (see below), whose sum is σ = 328423680. Its totient is φ = 26284032.

The previous prime is 100798073. The next prime is 100798099. The reversal of 100798080 is 80897001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89682 + ... + 90798.

It is an arithmetic number, because the mean of its divisors is an integer number (2565810).

Almost surely, 2^100798080 is an apocalyptic number.

100798080 is a gapful number since it is divisible by the number (10) 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 100798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164211840).

100798080 is an abundant number, since it is smaller than the sum of its proper divisors (227625600).

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

100798080 is a wasteful number, since it uses less digits than its factorization.

100798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 100798080 is about 10039.8246996648. The cubic root of 100798080 is about 465.3903993929.

The spelling of 100798080 in words is "one hundred million, seven hundred ninety-eight thousand, eighty".