345605100 has 144 divisors (see below), whose sum is σ = 1034600448. Its totient is φ = 89026560.

The previous prime is 345605089. The next prime is 345605131. The reversal of 345605100 is 1506543.

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, 1790604 + ... + 1790796.

Almost surely, 2^345605100 is an apocalyptic number.

345605100 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 345605100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517300224).

345605100 is an abundant number, since it is smaller than the sum of its proper divisors (688995348).

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

345605100 is a wasteful number, since it uses less digits than its factorization.

345605100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 345605100 is about 18590.4572294497. The cubic root of 345605100 is about 701.7677091195.

The spelling of 345605100 in words is "three hundred forty-five million, six hundred five thousand, one hundred".