105134884756 has 48 divisors (see below), whose sum is σ = 202325663232. Its totient is φ = 47405887200.

The previous prime is 105134884747. The next prime is 105134884783. The reversal of 105134884756 is 657488431501.

It is a super-2 number, since 2×105134884756² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2831745 + ... + 2868631.

It is an arithmetic number, because the mean of its divisors is an integer number (4215117984).

Almost surely, 2^105134884756 is an apocalyptic number.

It is an amenable number.

105134884756 is a deficient number, since it is larger than the sum of its proper divisors (97190778476).

105134884756 is a wasteful number, since it uses less digits than its factorization.

105134884756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37420 (or 37418 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 105134884756 in words is "one hundred five billion, one hundred thirty-four million, eight hundred eighty-four thousand, seven hundred fifty-six".