306106397273160 has 448 divisors, whose sum is σ = 1126596807480960. Its totient is φ = 74202075648000.

The previous prime is 306106397273129. The next prime is 306106397273177. The reversal of 306106397273160 is 61372793601603.

It is a happy number.

306106397273160 is a `hidden beast` number, since 3 + 0 + 610 + 6 + 3 + 9 + 7 + 2 + 7 + 3 + 16 + 0 = 666.

It is a super-2 number, since 2×306106397273160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 306106397273097 and 306106397273106.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5745105720 + ... + 5745159000.

Almost surely, 2^{306106397273160} is an apocalyptic number.

306106397273160 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 306106397273160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563298403740480).

306106397273160 is an abundant number, since it is smaller than the sum of its proper divisors (820490410207800).

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

306106397273160 is a wasteful number, since it uses less digits than its factorization.

306106397273160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71232 (or 71213 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 306106397273160 in words is "three hundred six trillion, one hundred six billion, three hundred ninety-seven million, two hundred seventy-three thousand, one hundred sixty".