105156106506 has 24 divisors (see below), whose sum is σ = 248550797664. Its totient is φ = 31865486760.

The previous prime is 105156106501. The next prime is 105156106597. The reversal of 105156106506 is 605601651501.

It is a super-2 number, since 2×105156106506² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105156106501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265545526 + ... + 265545921.

It is an arithmetic number, because the mean of its divisors is an integer number (10356283236).

Almost surely, 2^105156106506 is an apocalyptic number.

105156106506 is an abundant number, since it is smaller than the sum of its proper divisors (143394691158).

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

105156106506 is a wasteful number, since it uses less digits than its factorization.

105156106506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531091466 (or 531091463 counting only the distinct ones).

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

The spelling of 105156106506 in words is "one hundred five billion, one hundred fifty-six million, one hundred six thousand, five hundred six".