100106050505000 has 80 divisors (see below), whose sum is σ = 234551791666500. Its totient is φ = 40041854208000.

The previous prime is 100106050504961. The next prime is 100106050505003. The reversal of 100106050505000 is 505050601001.

It can be written as a sum of positive squares in 10 ways, for example, as 3649727501476 + 96456323003524 = 1910426^2 + 9821218^2 .

It is a super-2 number, since 2×100106050505000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100106050505003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 703073816 + ... + 703216184.

Almost surely, 2^{100106050505000} is an apocalyptic number.

100106050505000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100106050505000 is an abundant number, since it is smaller than the sum of its proper divisors (134445741161500).

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

100106050505000 is a wasteful number, since it uses less digits than its factorization.

100106050505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283024 (or 283005 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 100106050505000 in words is "one hundred trillion, one hundred six billion, fifty million, five hundred five thousand".