1093927728100 has 81 divisors (see below), whose sum is σ = 2434087615323. Its totient is φ = 426731280000.

The previous prime is 1093927728097. The next prime is 1093927728109. The reversal of 1093927728100 is 18277293901.

The square root of 1093927728100 is 1045910.

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 460451816356 + 633475911744 = 678566^2 + 795912^2 .

It is a super-2 number, since 2×1093927728100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1093927728109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 428821825 + ... + 428824375.

Almost surely, 2^{1093927728100} is an apocalyptic number.

1093927728100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1093927728100 is the 1045910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1093927728100

1093927728100 is an abundant number, since it is smaller than the sum of its proper divisors (1340159887223).

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

1093927728100 is an frugal number, since it uses more digits than its factorization.

1093927728100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

Multiplying 1093927728100 by its sum of digits (49), we get a square (53602458676900 = 7321370²).

The spelling of 1093927728100 in words is "one trillion, ninety-three billion, nine hundred twenty-seven million, seven hundred twenty-eight thousand, one hundred".