109827310320 has 1200 divisors, whose sum is σ = 483199927392. Its totient is φ = 23044331520.

The previous prime is 109827310309. The next prime is 109827310321. The reversal of 109827310320 is 23013728901.

109827310320 is a `hidden beast` number, since 10 + 9 + 8 + 2 + 7 + 310 + 320 = 666.

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 (109827310321) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 606780630 + ... + 606780810.

Almost surely, 2^109827310320 is an apocalyptic number.

109827310320 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 109827310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241599963696).

109827310320 is an abundant number, since it is smaller than the sum of its proper divisors (373372617072).

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

109827310320 is an equidigital number, since it uses as much as digits as its factorization.

109827310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 109827310320 in words is "one hundred nine billion, eight hundred twenty-seven million, three hundred ten thousand, three hundred twenty".