100100606050432 has 128 divisors (see below), whose sum is σ = 220027266874800. Its totient is φ = 45067271208960.

The previous prime is 100100606050331. The next prime is 100100606050453. The reversal of 100100606050432 is 234050606001001.

It can be written as a sum of positive squares in 8 ways, for example, as 4015599178816 + 96085006871616 = 2003896^2 + 9802296^2 .

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

It is a super-2 number, since 2×100100606050432² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100100606050432.

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, 517655268 + ... + 517848604.

Almost surely, 2^{100100606050432} 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 100100606050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110013633437400).

100100606050432 is an abundant number, since it is smaller than the sum of its proper divisors (119926660824368).

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

100100606050432 is a wasteful number, since it uses less digits than its factorization.

100100606050432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200994 (or 200982 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 100100606050432 in words is "one hundred trillion, one hundred billion, six hundred six million, fifty thousand, four hundred thirty-two".