100363560640 has 112 divisors (see below), whose sum is σ = 273944803392. Its totient is φ = 34307997696.

The previous prime is 100363560623. The next prime is 100363560691. The reversal of 100363560640 is 46065363001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 100363560596 and 100363560605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688404 + ... + 821356.

Almost surely, 2^100363560640 is an apocalyptic number.

100363560640 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 100363560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136972401696).

100363560640 is an abundant number, since it is smaller than the sum of its proper divisors (173581242752).

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

100363560640 is a wasteful number, since it uses less digits than its factorization.

100363560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133314 (or 133304 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 100363560640 in words is "one hundred billion, three hundred sixty-three million, five hundred sixty thousand, six hundred forty".