305372106 has 80 divisors (see below), whose sum is σ = 746200224. Its totient is φ = 92775456.

The previous prime is 305372099. The next prime is 305372107. The reversal of 305372106 is 601273503.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 305372106.

It is not an unprimeable number, because it can be changed into a prime (305372107) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173925 + ... + 175671.

Almost surely, 2^305372106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305372106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373100112).

305372106 is an abundant number, since it is smaller than the sum of its proper divisors (440828118).

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

305372106 is a wasteful number, since it uses less digits than its factorization.

305372106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 305372106 is about 17474.8993130147. The cubic root of 305372106 is about 673.4051830549.

The spelling of 305372106 in words is "three hundred five million, three hundred seventy-two thousand, one hundred six".