105543876504 has 128 divisors (see below), whose sum is σ = 289629250560. Its totient is φ = 31785600000.

The previous prime is 105543876499. The next prime is 105543876521. The reversal of 105543876504 is 405678345501.

It is a super-2 number, since 2×105543876504² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31971654 + ... + 31974954.

It is an arithmetic number, because the mean of its divisors is an integer number (2262728520).

Almost surely, 2^105543876504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105543876504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144814625280).

105543876504 is an abundant number, since it is smaller than the sum of its proper divisors (184085374056).

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

105543876504 is a wasteful number, since it uses less digits than its factorization.

105543876504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 105543876504 in words is "one hundred five billion, five hundred forty-three million, eight hundred seventy-six thousand, five hundred four".