105610106106064 has 40 divisors (see below), whose sum is σ = 237144624594048. Its totient is φ = 44623988492160.

The previous prime is 105610106106061. The next prime is 105610106106077. The reversal of 105610106106064 is 460601601016501.

It is a super-2 number, since 2×105610106106064² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105610106106061) 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, 6640466527 + ... + 6640482430.

Almost surely, 2^{105610106106064} is an apocalyptic number.

105610106106064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105610106106064 is an abundant number, since it is smaller than the sum of its proper divisors (131534518487984).

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

105610106106064 is a wasteful number, since it uses less digits than its factorization.

105610106106064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13280949043 (or 13280949037 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 105610106106064 in words is "one hundred five trillion, six hundred ten billion, one hundred six million, one hundred six thousand, sixty-four".