100035198080 has 128 divisors (see below), whose sum is σ = 248999531760. Its totient is φ = 38397542400.

The previous prime is 100035198061. The next prime is 100035198091. The reversal of 100035198080 is 80891530001.

It can be written as a sum of positive squares in 8 ways, for example, as 396487744 + 99638710336 = 19912^2 + 315656^2 .

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

It is a super-3 number, since 3×100035198080³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100035198080.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1569392 + ... + 1631888.

Almost surely, 2^100035198080 is an apocalyptic number.

100035198080 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 100035198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124499765880).

100035198080 is an abundant number, since it is smaller than the sum of its proper divisors (148964333680).

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

100035198080 is an equidigital number, since it uses as much as digits as its factorization.

100035198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62618 (or 62606 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The spelling of 100035198080 in words is "one hundred billion, thirty-five million, one hundred ninety-eight thousand, eighty".