11105006061084 has 288 divisors, whose sum is σ = 30193262313984. Its totient is φ = 3163803402240.

The previous prime is 11105006060989. The next prime is 11105006061133. The reversal of 11105006061084 is 48016060050111.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 689615377 + ... + 689631479.

It is an arithmetic number, because the mean of its divisors is an integer number (104837716368).

Almost surely, 2^{11105006061084} 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 11105006061084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15096631156992).

11105006061084 is an abundant number, since it is smaller than the sum of its proper divisors (19088256252900).

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

11105006061084 is a wasteful number, since it uses less digits than its factorization.

11105006061084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16477 (or 16462 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 11105006061084 in words is "eleven trillion, one hundred five billion, six million, sixty-one thousand, eighty-four".