110893999104 has 352 divisors, whose sum is σ = 379042826240. Its totient is φ = 31370747904.

The previous prime is 110893999103. The next prime is 110893999109. The reversal of 110893999104 is 401999398011.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (110893999103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19931427 + ... + 19936989.

Almost surely, 2^110893999104 is an apocalyptic number.

110893999104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110893999104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189521413120).

110893999104 is an abundant number, since it is smaller than the sum of its proper divisors (268148827136).

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

110893999104 is a wasteful number, since it uses less digits than its factorization.

110893999104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 110893999104 in words is "one hundred ten billion, eight hundred ninety-three million, nine hundred ninety-nine thousand, one hundred four".