109264399200 has 1440 divisors, whose sum is σ = 470417891328. Its totient is φ = 24385536000.

The previous prime is 109264399193. The next prime is 109264399273. The reversal of 109264399200 is 2993462901.

It is a happy number.

109264399200 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 6 + 439 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent 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 239 ways as a sum of consecutive naturals, for example, 860349537 + ... + 860349663.

Almost surely, 2^109264399200 is an apocalyptic number.

109264399200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109264399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235208945664).

109264399200 is an abundant number, since it is smaller than the sum of its proper divisors (361153492128).

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

109264399200 is a wasteful number, since it uses less digits than its factorization.

109264399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 109264399200 in words is "one hundred nine billion, two hundred sixty-four million, three hundred ninety-nine thousand, two hundred".