345205136100 has 144 divisors (see below), whose sum is σ = 1090765561536. Its totient is φ = 83596032000.

The previous prime is 345205136069. The next prime is 345205136119. The reversal of 345205136100 is 1631502543.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3036280 + ... + 3147920.

It is an arithmetic number, because the mean of its divisors is an integer number (7574760844).

Almost surely, 2^345205136100 is an apocalyptic number.

345205136100 is a gapful number since it is divisible by the number (30) 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 345205136100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545382780768).

345205136100 is an abundant number, since it is smaller than the sum of its proper divisors (745560425436).

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

345205136100 is a wasteful number, since it uses less digits than its factorization.

345205136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112606 (or 112599 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 345205136100 its reverse (1631502543), we get a palindrome (346836638643).

The spelling of 345205136100 in words is "three hundred forty-five billion, two hundred five million, one hundred thirty-six thousand, one hundred".