106105005606 has 128 divisors (see below), whose sum is σ = 232564856832. Its totient is φ = 32140800000.

The previous prime is 106105005593. The next prime is 106105005637. The reversal of 106105005606 is 606500501601.

It is a super-2 number, since 2×106105005606² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284463636 + ... + 284464008.

It is an arithmetic number, because the mean of its divisors is an integer number (1816912944).

Almost surely, 2^106105005606 is an apocalyptic number.

106105005606 is an abundant number, since it is smaller than the sum of its proper divisors (126459851226).

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

106105005606 is a wasteful number, since it uses less digits than its factorization.

106105005606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 106105005606 in words is "one hundred six billion, one hundred five million, five thousand, six hundred six".