109279102320 has 240 divisors, whose sum is σ = 382010883072. Its totient is φ = 29032162560.

The previous prime is 109279102271. The next prime is 109279102321. The reversal of 109279102320 is 23201972901.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109279102321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5257869 + ... + 5278611.

Almost surely, 2^109279102320 is an apocalyptic number.

109279102320 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 109279102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191005441536).

109279102320 is an abundant number, since it is smaller than the sum of its proper divisors (272731780752).

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

109279102320 is a wasteful number, since it uses less digits than its factorization.

109279102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21042 (or 21024 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 109279102320 in words is "one hundred nine billion, two hundred seventy-nine million, one hundred two thousand, three hundred twenty".