110142315024 has 160 divisors (see below), whose sum is σ = 336088203264. Its totient is φ = 30416325120.

The previous prime is 110142315013. The next prime is 110142315047. The reversal of 110142315024 is 420513241011.

It is a super-2 number, since 2×110142315024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 110142314985 and 110142315003.

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, 8982882 + ... + 8995134.

Almost surely, 2^110142315024 is an apocalyptic number.

110142315024 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 110142315024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168044101632).

110142315024 is an abundant number, since it is smaller than the sum of its proper divisors (225945888240).

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

110142315024 is a wasteful number, since it uses less digits than its factorization.

110142315024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13165 (or 13159 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 110142315024 its reverse (420513241011), we get a palindrome (530655556035).

The spelling of 110142315024 in words is "one hundred ten billion, one hundred forty-two million, three hundred fifteen thousand, twenty-four".