110153460340 has 192 divisors, whose sum is σ = 296789391360. Its totient is φ = 33344156160.

The previous prime is 110153460331. The next prime is 110153460341. The reversal of 110153460340 is 43064351011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 110153460299 and 110153460308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110153460341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11848734 + ... + 11858026.

It is an arithmetic number, because the mean of its divisors is an integer number (1545778080).

Almost surely, 2^110153460340 is an apocalyptic number.

110153460340 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 110153460340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148394695680).

110153460340 is an abundant number, since it is smaller than the sum of its proper divisors (186635931020).

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

110153460340 is a wasteful number, since it uses less digits than its factorization.

110153460340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9542 (or 9540 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 110153460340 in words is "one hundred ten billion, one hundred fifty-three million, four hundred sixty thousand, three hundred forty".