109893708320400 has 585 divisors, whose sum is σ = 396580774599001. Its totient is φ = 29264230903680.

The previous prime is 109893708320393. The next prime is 109893708320411. The reversal of 109893708320400 is 4023807398901.

The square root of 109893708320400 is 10483020.

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

109893708320400 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 93 + 70 + 83 + 2 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39561734995344 + 70331973325056 = 6289812^2 + 8386416^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 152842431241 + ... + 152842431959.

Almost surely, 2^{109893708320400} is an apocalyptic number.

109893708320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109893708320400 is the 10483020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109893708320400

109893708320400 is an abundant number, since it is smaller than the sum of its proper divisors (286687066278601).

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

109893708320400 is an frugal number, since it uses more digits than its factorization.

109893708320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 109893708320400 in words is "one hundred nine trillion, eight hundred ninety-three billion, seven hundred eight million, three hundred twenty thousand, four hundred".