115407102105000 has 640 divisors, whose sum is σ = 438781332528000. Its totient is φ = 27966113280000.

The previous prime is 115407102104977. The next prime is 115407102105007. The reversal of 115407102105000 is 501201704511.

115407102105000 is a `hidden beast` number, since 1 + 1 + 5 + 40 + 7 + 102 + 10 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (115407102105007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 65687995 + ... + 67422005.

It is an arithmetic number, because the mean of its divisors is an integer number (685595832075).

Almost surely, 2^{115407102105000} is an apocalyptic number.

115407102105000 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 115407102105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219390666264000).

115407102105000 is an abundant number, since it is smaller than the sum of its proper divisors (323374230423000).

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

115407102105000 is a wasteful number, since it uses less digits than its factorization.

115407102105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734092 (or 1734067 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 115407102105000 its reverse (501201704511), we get a palindrome (115908303809511).

The spelling of 115407102105000 in words is "one hundred fifteen trillion, four hundred seven billion, one hundred two million, one hundred five thousand".