305305213610100 has 144 divisors (see below), whose sum is σ = 967083651809856. Its totient is φ = 73749992064000.

The previous prime is 305305213610093. The next prime is 305305213610101. The reversal of 305305213610100 is 1016312503503.

It is a super-2 number, since 2×305305213610100² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305305213610101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163693219 + ... + 165547818.

It is an arithmetic number, because the mean of its divisors is an integer number (6715858693124).

Almost surely, 2^{305305213610100} is an apocalyptic number.

305305213610100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305305213610100 is an abundant number, since it is smaller than the sum of its proper divisors (661778438199756).

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

305305213610100 is a wasteful number, since it uses less digits than its factorization.

305305213610100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329241346 (or 329241339 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 305305213610100 in words is "three hundred five trillion, three hundred five billion, two hundred thirteen million, six hundred ten thousand, one hundred".