10793918868100 has 81 divisors (see below), whose sum is σ = 24260479421997. Its totient is φ = 4168317941760.

The previous prime is 10793918868059. The next prime is 10793918868127. The reversal of 10793918868100 is 186881939701.

The square root of 10793918868100 is 3285410.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8151447545476 + 2642471322624 = 2855074^2 + 1625568^2 .

It is a super-2 number, since 2×10793918868100² (a number of 27 digits) contains 22 as substring.

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, 952763236 + ... + 952774564.

Almost surely, 2^{10793918868100} is an apocalyptic number.

10793918868100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10793918868100 is the 3285410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10793918868100

10793918868100 is an abundant number, since it is smaller than the sum of its proper divisors (13466560553897).

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

10793918868100 is an frugal number, since it uses more digits than its factorization.

10793918868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22730 (or 11365 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 61.

The spelling of 10793918868100 in words is "ten trillion, seven hundred ninety-three billion, nine hundred eighteen million, eight hundred sixty-eight thousand, one hundred".