105536135144 has 24 divisors (see below), whose sum is σ = 217504743330. Its totient is φ = 47970970080.

The previous prime is 105536135087. The next prime is 105536135147. The reversal of 105536135144 is 441531635501.

It can be written as a sum of positive squares in only one way, i.e., 93796412644 + 11739722500 = 306262^2 + 108350^2 .

It is a super-2 number, since 2×105536135144² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105536135098 and 105536135107.

It is not an unprimeable number, because it can be changed into a prime (105536135147) 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 5 ways as a sum of consecutive naturals, for example, 54511499 + ... + 54513434.

Almost surely, 2^105536135144 is an apocalyptic number.

It is an amenable number.

105536135144 is an abundant number, since it is smaller than the sum of its proper divisors (111968608186).

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

105536135144 is a wasteful number, since it uses less digits than its factorization.

105536135144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109024961 (or 109024946 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 105536135144 in words is "one hundred five billion, five hundred thirty-six million, one hundred thirty-five thousand, one hundred forty-four".