1110100506064 has 160 divisors (see below), whose sum is σ = 2445563473920. Its totient is φ = 483589094400.

The previous prime is 1110100506061. The next prime is 1110100506103. The reversal of 1110100506064 is 4606050010111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110100506061) 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 31 ways as a sum of consecutive naturals, for example, 346579887 + ... + 346583089.

It is an arithmetic number, because the mean of its divisors is an integer number (15284771712).

Almost surely, 2^{1110100506064} 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 1110100506064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222781736960).

1110100506064 is an abundant number, since it is smaller than the sum of its proper divisors (1335462967856).

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

1110100506064 is a wasteful number, since it uses less digits than its factorization.

1110100506064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 1110100506064 its reverse (4606050010111), we get a palindrome (5716150516175).

The spelling of 1110100506064 in words is "one trillion, one hundred ten billion, one hundred million, five hundred six thousand, sixty-four".