27064305100 has 216 divisors, whose sum is σ = 71804515328. Its totient is φ = 8664364800.

The previous prime is 27064305083. The next prime is 27064305157. The reversal of 27064305100 is 150346072.

It is a super-2 number, since 2×27064305100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18248959 + ... + 18250441.

Almost surely, 2^27064305100 is an apocalyptic number.

27064305100 is a gapful number since it is divisible by the number (20) 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 27064305100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35902257664).

27064305100 is an abundant number, since it is smaller than the sum of its proper divisors (44740210228).

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

27064305100 is a wasteful number, since it uses less digits than its factorization.

27064305100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 27064305100 in words is "twenty-seven billion, sixty-four million, three hundred five thousand, one hundred".