109539249210000 has 1125 divisors, whose sum is σ = 411329040825703. Its totient is φ = 28132876800000.

The previous prime is 109539249209941. The next prime is 109539249210011. The reversal of 109539249210000 is 12942935901.

The square root of 109539249210000 is 10466100.

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

109539249210000 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 392 + 49 + 210 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 90828295430544 + 18710953779456 = 9530388^2 + 4325616^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 273165209800 + ... + 273165210200.

Almost surely, 2^{109539249210000} is an apocalyptic number.

109539249210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109539249210000 is the 10466100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109539249210000

109539249210000 is an abundant number, since it is smaller than the sum of its proper divisors (301789791615703).

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

109539249210000 is an frugal number, since it uses more digits than its factorization.

109539249210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 109539249210000 in words is "one hundred nine trillion, five hundred thirty-nine billion, two hundred forty-nine million, two hundred ten thousand".