115145114434100 has 18 divisors (see below), whose sum is σ = 249864898322214. Its totient is φ = 46058045773600.

The previous prime is 115145114434057. The next prime is 115145114434111. The reversal of 115145114434100 is 1434411541511.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 183358665616 + 114961755768484 = 428204^2 + 10722022^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 575725572071 + ... + 575725572270.

It is an arithmetic number, because the mean of its divisors is an integer number (13881383240123).

Almost surely, 2^{115145114434100} is an apocalyptic number.

115145114434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115145114434100 is an abundant number, since it is smaller than the sum of its proper divisors (134719783888114).

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

115145114434100 is a wasteful number, since it uses less digits than its factorization.

115145114434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151451144355 (or 1151451144348 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

Adding to 115145114434100 its reverse (1434411541511), we get a palindrome (116579525975611).

The spelling of 115145114434100 in words is "one hundred fifteen trillion, one hundred forty-five billion, one hundred fourteen million, four hundred thirty-four thousand, one hundred".