109207307052900 has 405 divisors, whose sum is σ = 399387362330411. Its totient is φ = 24958158906240.

The previous prime is 109207307052743. The next prime is 109207307052901. The reversal of 109207307052900 is 9250703702901.

The square root of 109207307052900 is 10450230.

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

109207307052900 is a `hidden beast` number, since 1 + 0 + 9 + 20 + 7 + 30 + 70 + 529 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28779126285924 + 80428180766976 = 5364618^2 + 8968176^2 .

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

It is not an unprimeable number, because it can be changed into a prime (109207307052901) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15361834546 + ... + 15361841654.

Almost surely, 2^{109207307052900} is an apocalyptic number.

109207307052900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109207307052900 is the 10450230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109207307052900

109207307052900 is an abundant number, since it is smaller than the sum of its proper divisors (290180055277511).

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

109207307052900 is an frugal number, since it uses more digits than its factorization.

109207307052900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14266 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 109207307052900 in words is "one hundred nine trillion, two hundred seven billion, three hundred seven million, fifty-two thousand, nine hundred".