100559859920 has 80 divisors (see below), whose sum is σ = 251839454160. Its totient is φ = 37121974272.

The previous prime is 100559859913. The next prime is 100559859941. The reversal of 100559859920 is 29958955001.

It can be written as a sum of positive squares in 8 ways, for example, as 2219917456 + 98339942464 = 47116^2 + 313592^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100559859920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 7832066 + ... + 7844894.

It is an arithmetic number, because the mean of its divisors is an integer number (3147993177).

Almost surely, 2^100559859920 is an apocalyptic number.

100559859920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100559859920 is an abundant number, since it is smaller than the sum of its proper divisors (151279594240).

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

100559859920 is a wasteful number, since it uses less digits than its factorization.

100559859920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20392 (or 20386 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 53.

The spelling of 100559859920 in words is "one hundred billion, five hundred fifty-nine million, eight hundred fifty-nine thousand, nine hundred twenty".