109745109364900 has 81 divisors (see below), whose sum is σ = 238914304299489. Its totient is φ = 43757037728160.

The previous prime is 109745109364879. The next prime is 109745109364973. The reversal of 109745109364900 is 9463901547901.

The square root of 109745109364900 is 10475930.

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

It can be written as a sum of positive squares in only one way, i.e., 39508239371364 + 70236869993536 = 6285558^2 + 8380744^2 .

It is a super-3 number, since 3×109745109364900³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 36351475591 + ... + 36351478609.

Almost surely, 2^{109745109364900} is an apocalyptic number.

109745109364900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109745109364900 is the 10475930-th square number.

It is an amenable number.

109745109364900 is an abundant number, since it is smaller than the sum of its proper divisors (129169194934589).

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

109745109364900 is an frugal number, since it uses more digits than its factorization.

109745109364900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6746 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 109745109364900 in words is "one hundred nine trillion, seven hundred forty-five billion, one hundred nine million, three hundred sixty-four thousand, nine hundred".