100105560610601 has 48 divisors (see below), whose sum is σ = 124111906684416. Its totient is φ = 79058648567808.

The previous prime is 100105560610513. The next prime is 100105560610621. The reversal of 100105560610601 is 106016065501001.

It is not a de Polignac number, because 100105560610601 - 2⁴² = 95707514099497 is a prime.

It is a super-2 number, since 2×100105560610601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105560610621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2406767861 + ... + 2406809453.

It is an arithmetic number, because the mean of its divisors is an integer number (2585664722592).

Almost surely, 2^{100105560610601} is an apocalyptic number.

It is an amenable number.

100105560610601 is a deficient number, since it is larger than the sum of its proper divisors (24006346073815).

100105560610601 is a wasteful number, since it uses less digits than its factorization.

100105560610601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45322 (or 45309 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 100105560610601 in words is "one hundred trillion, one hundred five billion, five hundred sixty million, six hundred ten thousand, six hundred one".