109805829120 has 1232 divisors, whose sum is σ = 445039940352. Its totient is φ = 25798901760.

The previous prime is 109805828999. The next prime is 109805829143. The reversal of 109805829120 is 21928508901.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1504189404 + ... + 1504189476.

Almost surely, 2^109805829120 is an apocalyptic number.

109805829120 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 109805829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222519970176).

109805829120 is an abundant number, since it is smaller than the sum of its proper divisors (335234111232).

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

109805829120 is an equidigital number, since it uses as much as digits as its factorization.

109805829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 109805829120 in words is "one hundred nine billion, eight hundred five million, eight hundred twenty-nine thousand, one hundred twenty".