100605505506006 has 32 divisors (see below), whose sum is σ = 213213526179840. Its totient is φ = 31537833998976.

The previous prime is 100605505505971. The next prime is 100605505506029. The reversal of 100605505506006 is 600605505506001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385455346 + ... + 385716261.

It is an arithmetic number, because the mean of its divisors is an integer number (6662922693120).

Almost surely, 2^{100605505506006} is an apocalyptic number.

100605505506006 is an abundant number, since it is smaller than the sum of its proper divisors (112608020673834).

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

100605505506006 is a wasteful number, since it uses less digits than its factorization.

100605505506006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771172908.

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 100605505506006 in words is "one hundred trillion, six hundred five billion, five hundred five million, five hundred six thousand, six".