345200100 has 216 divisors, whose sum is σ = 1213547328. Its totient is φ = 75398400.

The previous prime is 345200099. The next prime is 345200161. The reversal of 345200100 is 1002543.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 345200100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 337590 + ... + 338610.

Almost surely, 2^345200100 is an apocalyptic number.

345200100 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 345200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606773664).

345200100 is an abundant number, since it is smaller than the sum of its proper divisors (868347228).

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

345200100 is a wasteful number, since it uses less digits than its factorization.

345200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 345200100 is about 18579.5613511191. The cubic root of 345200100 is about 701.4934780055.

Adding to 345200100 its reverse (1002543), we get a palindrome (346202643).

The spelling of 345200100 in words is "three hundred forty-five million, two hundred thousand, one hundred".