100560006000 has 240 divisors, whose sum is σ = 360717472128. Its totient is φ = 26091072000.

The previous prime is 100560005879. The next prime is 100560006011. The reversal of 100560006000 is 600065001.

100560006000 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 60 + 0 + 0 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×100560006000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590505 + ... + 741495.

Almost surely, 2^100560006000 is an apocalyptic number.

100560006000 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 100560006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180358736064).

100560006000 is an abundant number, since it is smaller than the sum of its proper divisors (260157466128).

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

100560006000 is a wasteful number, since it uses less digits than its factorization.

100560006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151057 (or 151038 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 100560006000 in words is "one hundred billion, five hundred sixty million, six thousand".