114530320410100 has 144 divisors (see below), whose sum is σ = 290470189968000. Its totient is φ = 38383416414720.

The previous prime is 114530320410083. The next prime is 114530320410139. The reversal of 114530320410100 is 1014023035411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4241851 + ... + 15717949.

It is an arithmetic number, because the mean of its divisors is an integer number (2017154097000).

Almost surely, 2^{114530320410100} is an apocalyptic number.

114530320410100 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 114530320410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145235094984000).

114530320410100 is an abundant number, since it is smaller than the sum of its proper divisors (175939869557900).

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

114530320410100 is a wasteful number, since it uses less digits than its factorization.

114530320410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11476442 (or 11476435 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 114530320410100 its reverse (1014023035411), we get a palindrome (115544343445511).

The spelling of 114530320410100 in words is "one hundred fourteen trillion, five hundred thirty billion, three hundred twenty million, four hundred ten thousand, one hundred".