105505626156 has 72 divisors (see below), whose sum is σ = 288269162496. Its totient is φ = 29944807200.

The previous prime is 105505626139. The next prime is 105505626157. The reversal of 105505626156 is 651626505501.

It is a super-2 number, since 2×105505626156² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (105505626157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505356 + ... + 682931.

It is an arithmetic number, because the mean of its divisors is an integer number (4003738368).

Almost surely, 2^105505626156 is an apocalyptic number.

It is an amenable number.

105505626156 is an abundant number, since it is smaller than the sum of its proper divisors (182763536340).

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

105505626156 is a wasteful number, since it uses less digits than its factorization.

105505626156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188459 (or 1188450 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 105505626156 in words is "one hundred five billion, five hundred five million, six hundred twenty-six thousand, one hundred fifty-six".