107111042304 has 144 divisors (see below), whose sum is σ = 326106039168. Its totient is φ = 30574043136.

The previous prime is 107111042287. The next prime is 107111042371. The reversal of 107111042304 is 403240111701.

It is a super-2 number, since 2×107111042304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5996074 + ... + 6013910.

It is an arithmetic number, because the mean of its divisors is an integer number (2264625272).

Almost surely, 2^107111042304 is an apocalyptic number.

107111042304 is a gapful number since it is divisible by the number (14) 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 107111042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163053019584).

107111042304 is an abundant number, since it is smaller than the sum of its proper divisors (218994996864).

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

107111042304 is a wasteful number, since it uses less digits than its factorization.

107111042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18980 (or 18966 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 107111042304 in words is "one hundred seven billion, one hundred eleven million, forty-two thousand, three hundred four".