109790789172100 has 81 divisors (see below), whose sum is σ = 249060372325807. Its totient is φ = 42005988566080.

The previous prime is 109790789172089. The next prime is 109790789172167. The reversal of 109790789172100 is 1271987097901.

The square root of 109790789172100 is 10478110.

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 5076991355524 + 104713797816576 = 2253218^2 + 10232976^2 .

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, 2409942522 + ... + 2409988078.

Almost surely, 2^{109790789172100} is an apocalyptic number.

109790789172100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109790789172100 is the 10478110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109790789172100

109790789172100 is an abundant number, since it is smaller than the sum of its proper divisors (139269583153707).

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

109790789172100 is an frugal number, since it uses more digits than its factorization.

109790789172100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91174 (or 45587 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 61.

The spelling of 109790789172100 in words is "one hundred nine trillion, seven hundred ninety billion, seven hundred eighty-nine million, one hundred seventy-two thousand, one hundred".