109009797120 has 768 divisors, whose sum is σ = 441653472000. Its totient is φ = 24357371904.

The previous prime is 109009797107. The next prime is 109009797151. The reversal of 109009797120 is 21797900901.

It is a tau number, because it is divible by the number of its divisors (768).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608993191 + ... + 608993369.

It is an arithmetic number, because the mean of its divisors is an integer number (575069625).

Almost surely, 2^109009797120 is an apocalyptic number.

109009797120 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 109009797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220826736000).

109009797120 is an abundant number, since it is smaller than the sum of its proper divisors (332643674880).

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

109009797120 is an equidigital number, since it uses as much as digits as its factorization.

109009797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The spelling of 109009797120 in words is "one hundred nine billion, nine million, seven hundred ninety-seven thousand, one hundred twenty".