109138163097600 has 4704 divisors, whose sum is σ = 518512654941120. Its totient is φ = 22152656977920.

The previous prime is 109138163097527. The next prime is 109138163097659. The reversal of 109138163097600 is 6790361831901.

It is a happy number.

109138163097600 is a `hidden beast` number, since 1 + 0 + 9 + 13 + 8 + 16 + 3 + 0 + 9 + 7 + 600 = 666.

It is a super-2 number, since 2×109138163097600² (a number of 29 digits) contains 22 as substring.

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

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 335 ways as a sum of consecutive naturals, for example, 394000588662 + ... + 394000588938.

Almost surely, 2^{109138163097600} is an apocalyptic number.

109138163097600 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 109138163097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259256327470560).

109138163097600 is an abundant number, since it is smaller than the sum of its proper divisors (409374491843520).

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

109138163097600 is an equidigital number, since it uses as much as digits as its factorization.

109138163097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 109138163097600 in words is "one hundred nine trillion, one hundred thirty-eight billion, one hundred sixty-three million, ninety-seven thousand, six hundred".