105506049988 has 48 divisors (see below), whose sum is σ = 190217208384. Its totient is φ = 51183982080.

The previous prime is 105506049983. The next prime is 105506049991. The reversal of 105506049988 is 889940605501.

It is a super-3 number, since 3×105506049988³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105506049983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16176168 + ... + 16182688.

It is an arithmetic number, because the mean of its divisors is an integer number (3962858508).

Almost surely, 2^105506049988 is an apocalyptic number.

It is an amenable number.

105506049988 is a deficient number, since it is larger than the sum of its proper divisors (84711158396).

105506049988 is a wasteful number, since it uses less digits than its factorization.

105506049988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7492 (or 7490 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 105506049988 in words is "one hundred five billion, five hundred six million, forty-nine thousand, nine hundred eighty-eight".