27024072100 has 81 divisors (see below), whose sum is σ = 62359181283. Its totient is φ = 10163247360.

The previous prime is 27024072059. The next prime is 27024072121. The reversal of 27024072100 is 127042072.

The square root of 27024072100 is 164390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 632120164 + 26391951936 = 25142^2 + 162456^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27945817 + ... + 27946783.

Almost surely, 2^27024072100 is an apocalyptic number.

27024072100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27024072100 is the 164390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27024072100

27024072100 is an abundant number, since it is smaller than the sum of its proper divisors (35335109183).

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

27024072100 is an equidigital number, since it uses as much as digits as its factorization.

27024072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

Multiplying 27024072100 by its sum of digits (25), we get a square (675601802500 = 821950²).

27024072100 divided by its sum of digits (25) gives a square (1080962884 = 32878²).

The spelling of 27024072100 in words is "twenty-seven billion, twenty-four million, seventy-two thousand, one hundred".