109468339600 has 135 divisors (see below), whose sum is σ = 267903831139. Its totient is φ = 42985331200.

The previous prime is 109468339597. The next prime is 109468339693. The reversal of 109468339600 is 6933864901.

The square root of 109468339600 is 330860.

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 21558461584 + 87909878016 = 146828^2 + 296496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 469821084 + ... + 469821316.

Almost surely, 2^109468339600 is an apocalyptic number.

109468339600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109468339600 is the 330860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109468339600

109468339600 is an abundant number, since it is smaller than the sum of its proper divisors (158435491539).

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

109468339600 is an frugal number, since it uses more digits than its factorization.

109468339600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

Multiplying 109468339600 by its sum of digits (49), we get a square (5363948640400 = 2316020²).

The spelling of 109468339600 in words is "one hundred nine billion, four hundred sixty-eight million, three hundred thirty-nine thousand, six hundred".