109701918720 has 624 divisors, whose sum is σ = 402045733440. Its totient is φ = 27613200384.

The previous prime is 109701918691. The next prime is 109701918727. The reversal of 109701918720 is 27819107901.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109701918727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479047566 + ... + 479047794.

It is an arithmetic number, because the mean of its divisors is an integer number (644304060).

Almost surely, 2^109701918720 is an apocalyptic number.

109701918720 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 109701918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201022866720).

109701918720 is an abundant number, since it is smaller than the sum of its proper divisors (292343814720).

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

109701918720 is a wasteful number, since it uses less digits than its factorization.

109701918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 109701918720 in words is "one hundred nine billion, seven hundred one million, nine hundred eighteen thousand, seven hundred twenty".