100560561051006 has 96 divisors (see below), whose sum is σ = 249981000422400. Its totient is φ = 28619257389120.

The previous prime is 100560561051001. The next prime is 100560561051047. The reversal of 100560561051006 is 600150165065001.

It is a super-2 number, since 2×100560561051006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100560561051001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177015925 + ... + 177583103.

It is an arithmetic number, because the mean of its divisors is an integer number (2603968754400).

Almost surely, 2^{100560561051006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100560561051006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124990500211200).

100560561051006 is an abundant number, since it is smaller than the sum of its proper divisors (149420439371394).

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

100560561051006 is a wasteful number, since it uses less digits than its factorization.

100560561051006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572694 (or 572691 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 100560561051006 in words is "one hundred trillion, five hundred sixty billion, five hundred sixty-one million, fifty-one thousand, six".