109039842000 has 240 divisors, whose sum is σ = 381770959440. Its totient is φ = 29006208000.

The previous prime is 109039841971. The next prime is 109039842011. The reversal of 109039842000 is 248930901.

It can be written as a sum of positive squares in 8 ways, for example, as 84429762624 + 24610079376 = 290568^2 + 156876^2 .

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

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7570806 + ... + 7585194.

It is an arithmetic number, because the mean of its divisors is an integer number (1590712331).

Almost surely, 2^109039842000 is an apocalyptic number.

109039842000 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 109039842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190885479720).

109039842000 is an abundant number, since it is smaller than the sum of its proper divisors (272731117440).

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

109039842000 is a wasteful number, since it uses less digits than its factorization.

109039842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14839 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 109039842000 in words is "one hundred nine billion, thirty-nine million, eight hundred forty-two thousand".