305350145100 has 864 divisors, whose sum is σ = 1302945606144. Its totient is φ = 57753907200.

The previous prime is 305350145081. The next prime is 305350145101. The reversal of 305350145100 is 1541053503.

305350145100 is a `hidden beast` number, since 3 + 0 + 53 + 501 + 4 + 5 + 100 = 666.

It is a super-2 number, since 2×305350145100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (305350145101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65763379 + ... + 65768021.

It is an arithmetic number, because the mean of its divisors is an integer number (1508038896).

Almost surely, 2^305350145100 is an apocalyptic number.

305350145100 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 305350145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651472803072).

305350145100 is an abundant number, since it is smaller than the sum of its proper divisors (997595461044).

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

305350145100 is a wasteful number, since it uses less digits than its factorization.

305350145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 305350145100 its reverse (1541053503), we get a palindrome (306891198603).

The spelling of 305350145100 in words is "three hundred five billion, three hundred fifty million, one hundred forty-five thousand, one hundred".