100106000606064 has 40 divisors (see below), whose sum is σ = 264109448413440. Its totient is φ = 32658695232448.

The previous prime is 100106000606063. The next prime is 100106000606071. The reversal of 100106000606064 is 460606000601001.

It is a super-2 number, since 2×100106000606064² (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 (100106000606063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22186611354 + ... + 22186615865.

It is an arithmetic number, because the mean of its divisors is an integer number (6602736210336).

Almost surely, 2^{100106000606064} is an apocalyptic number.

It is an amenable number.

100106000606064 is an abundant number, since it is smaller than the sum of its proper divisors (164003447807376).

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

100106000606064 is a wasteful number, since it uses less digits than its factorization.

100106000606064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44373227277 (or 44373227271 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 100106000606064 in words is "one hundred trillion, one hundred six billion, six hundred six thousand, sixty-four".