109314343622500 has 135 divisors (see below), whose sum is σ = 242747527126797. Its totient is φ = 43059313440000.

The previous prime is 109314343622489. The next prime is 109314343622509. The reversal of 109314343622500 is 5226343413901.

The square root of 109314343622500 is 10455350.

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

It can be written as a sum of positive squares in 7 ways, for example, as 102172108752484 + 7142234870016 = 10108022^2 + 2672496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109314343622509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35025420940 + ... + 35025424060.

Almost surely, 2^{109314343622500} is an apocalyptic number.

109314343622500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109314343622500 is the 10455350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109314343622500

109314343622500 is an abundant number, since it is smaller than the sum of its proper divisors (133433183504297).

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

109314343622500 is an frugal number, since it uses more digits than its factorization.

109314343622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 109314343622500 in words is "one hundred nine trillion, three hundred fourteen billion, three hundred forty-three million, six hundred twenty-two thousand, five hundred".