9089561712100 has 27 divisors (see below), whose sum is σ = 19724414338587. Its totient is φ = 3635812625280.

The previous prime is 9089561712079. The next prime is 9089561712103. The reversal of 9089561712100 is 12171659809.

The square root of 9089561712100 is 3014890.

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 1922975717796 + 7166585994304 = 1386714^2 + 2677048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9089561712103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29998156 + ... + 30299644.

Almost surely, 2^{9089561712100} is an apocalyptic number.

9089561712100 is the 3014890-th square number.

It is an amenable number.

9089561712100 is an abundant number, since it is smaller than the sum of its proper divisors (10634852626487).

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

9089561712100 is an frugal number, since it uses more digits than its factorization.

9089561712100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602992 (or 301496 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 49.

Multiplying 9089561712100 by its sum of digits (49), we get a square (445388523892900 = 21104230²).

The spelling of 9089561712100 in words is "nine trillion, eighty-nine billion, five hundred sixty-one million, seven hundred twelve thousand, one hundred".