105606105615 has 32 divisors (see below), whose sum is σ = 197625465600. Its totient is φ = 53358873120.

The previous prime is 105606105611. The next prime is 105606105629. The reversal of 105606105615 is 516501606501.

It is not a de Polignac number, because 105606105615 - 2² = 105606105611 is a prime.

It is a super-3 number, since 3×105606105615³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105606105615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105606105611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20583421 + ... + 20588550.

It is an arithmetic number, because the mean of its divisors is an integer number (6175795800).

Almost surely, 2^105606105615 is an apocalyptic number.

105606105615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105606105615 is a deficient number, since it is larger than the sum of its proper divisors (92019359985).

105606105615 is a wasteful number, since it uses less digits than its factorization.

105606105615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41172004 (or 41171998 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105606105615 in words is "one hundred five billion, six hundred six million, one hundred five thousand, six hundred fifteen".