110214660096 has 720 divisors, whose sum is σ = 366403215360. Its totient is φ = 32965263360.

The previous prime is 110214660091. The next prime is 110214660107. The reversal of 110214660096 is 690066412011.

110214660096 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 1 + 46 + 600 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 110214660096.

It is not an unprimeable number, because it can be changed into a prime (110214660091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2344992745 + ... + 2344992791.

Almost surely, 2^110214660096 is an apocalyptic number.

110214660096 is a gapful number since it is divisible by the number (16) 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 110214660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183201607680).

110214660096 is an abundant number, since it is smaller than the sum of its proper divisors (256188555264).

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

110214660096 is an frugal number, since it uses more digits than its factorization.

110214660096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 110214660096 in words is "one hundred ten billion, two hundred fourteen million, six hundred sixty thousand, ninety-six".