109934985160 has 256 divisors, whose sum is σ = 334662451200. Its totient is φ = 31386700800.

The previous prime is 109934985143. The next prime is 109934985191. The reversal of 109934985160 is 61589439901.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5234761 + ... + 5255719.

It is an arithmetic number, because the mean of its divisors is an integer number (1307275200).

Almost surely, 2^109934985160 is an apocalyptic number.

109934985160 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 109934985160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167331225600).

109934985160 is an abundant number, since it is smaller than the sum of its proper divisors (224727466040).

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

109934985160 is a wasteful number, since it uses less digits than its factorization.

109934985160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21132 (or 21128 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The spelling of 109934985160 in words is "one hundred nine billion, nine hundred thirty-four million, nine hundred eighty-five thousand, one hundred sixty".