100559212704 has 144 divisors (see below), whose sum is σ = 287947603944. Its totient is φ = 33288192000.

The previous prime is 100559212697. The next prime is 100559212729. The reversal of 100559212704 is 407212955001.

100559212704 is a `hidden beast` number, since 10 + 0 + 559 + 21 + 2 + 70 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91845363600 + 8713849104 = 303060^2 + 93348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×100559212704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27830802 + ... + 27834414.

Almost surely, 2^100559212704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100559212704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143973801972).

100559212704 is an abundant number, since it is smaller than the sum of its proper divisors (187388391240).

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

100559212704 is a wasteful number, since it uses less digits than its factorization.

100559212704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 100559212704 in words is "one hundred billion, five hundred fifty-nine million, two hundred twelve thousand, seven hundred four".