106105105560004 has 12 divisors (see below), whose sum is σ = 187522389530028. Its totient is φ = 52527279980000.

The previous prime is 106105105560001. The next prime is 106105105560037. The reversal of 106105105560004 is 400065501501601.

It can be written as a sum of positive squares in 2 ways, for example, as 77483654150400 + 28621451409604 = 8802480^2 + 5349902^2 .

It is a super-2 number, since 2×106105105560004² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106105105560001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131318199547 + ... + 131318200354.

It is an arithmetic number, because the mean of its divisors is an integer number (15626865794169).

Almost surely, 2^{106105105560004} is an apocalyptic number.

It is an amenable number.

106105105560004 is a deficient number, since it is larger than the sum of its proper divisors (81417283970024).

106105105560004 is a wasteful number, since it uses less digits than its factorization.

106105105560004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262636400006 (or 262636400004 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 106105105560004 in words is "one hundred six trillion, one hundred five billion, one hundred five million, five hundred sixty thousand, four".