100105560605605 has 8 divisors (see below), whose sum is σ = 127192947593112. Its totient is φ = 75373598573568.

The previous prime is 100105560605489. The next prime is 100105560605641. The reversal of 100105560605605 is 506506065501001.

It can be written as a sum of positive squares in 4 ways, for example, as 1896806544516 + 98208754061089 = 1377246^2 + 9910033^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100105560605605 - 2¹¹ = 100105560603557 is a prime.

It is a super-2 number, since 2×100105560605605² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588856238772 + ... + 588856238941.

It is an arithmetic number, because the mean of its divisors is an integer number (15899118449139).

Almost surely, 2^{100105560605605} is an apocalyptic number.

It is an amenable number.

100105560605605 is a deficient number, since it is larger than the sum of its proper divisors (27087386987507).

100105560605605 is a wasteful number, since it uses less digits than its factorization.

100105560605605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177712477735.

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 100105560605605 in words is "one hundred trillion, one hundred five billion, five hundred sixty million, six hundred five thousand, six hundred five".