110634717052140 has 96 divisors (see below), whose sum is σ = 312895590469056. Its totient is φ = 29205698150400.

The previous prime is 110634717052127. The next prime is 110634717052187. The reversal of 110634717052140 is 41250717436011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110634717052092 and 110634717052101.

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, 35551524 + ... + 38538036.

It is an arithmetic number, because the mean of its divisors is an integer number (3259329067386).

Almost surely, 2^{110634717052140} is an apocalyptic number.

110634717052140 is a gapful number since it is divisible by the number (10) 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 110634717052140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156447795234528).

110634717052140 is an abundant number, since it is smaller than the sum of its proper divisors (202260873416916).

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

110634717052140 is a wasteful number, since it uses less digits than its factorization.

110634717052140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992739 (or 2992737 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 110634717052140 in words is "one hundred ten trillion, six hundred thirty-four billion, seven hundred seventeen million, fifty-two thousand, one hundred forty".