106105560105104 has 40 divisors (see below), whose sum is σ = 234952708338048. Its totient is φ = 45472905204480.

The previous prime is 106105560105101. The next prime is 106105560105137. The reversal of 106105560105104 is 401501065501601.

It is a happy number.

It is a super-2 number, since 2×106105560105104² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106105560105101) 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, 3780317 + ... + 15049980.

Almost surely, 2^{106105560105104} is an apocalyptic number.

106105560105104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106105560105104 is an abundant number, since it is smaller than the sum of its proper divisors (128847148232944).

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

106105560105104 is a wasteful number, since it uses less digits than its factorization.

106105560105104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18880623 (or 18880617 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 35.

The spelling of 106105560105104 in words is "one hundred six trillion, one hundred five billion, five hundred sixty million, one hundred five thousand, one hundred four".