105015566660106 has 32 divisors (see below), whose sum is σ = 221295760934400. Its totient is φ = 33131256908400.

The previous prime is 105015566660041. The next prime is 105015566660107. The reversal of 105015566660106 is 601066665510501.

It is a super-2 number, since 2×105015566660106² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105015566660107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438124326 + ... + 438363953.

It is an arithmetic number, because the mean of its divisors is an integer number (6915492529200).

Almost surely, 2^{105015566660106} is an apocalyptic number.

105015566660106 is an abundant number, since it is smaller than the sum of its proper divisors (116280194274294).

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

105015566660106 is a wasteful number, since it uses less digits than its factorization.

105015566660106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876489354.

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 105015566660106 in words is "one hundred five trillion, fifteen billion, five hundred sixty-six million, six hundred sixty thousand, one hundred six".