7105189140 has 216 divisors, whose sum is σ = 25296584040. Its totient is φ = 1609445376.

The previous prime is 7105189127. The next prime is 7105189199. The reversal of 7105189140 is 419815017.

7105189140 is a `hidden beast` number, since 7 + 10 + 518 + 91 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28005264 + 7077183876 = 5292^2 + 84126^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 7105189095 and 7105189104.

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 71 ways as a sum of consecutive naturals, for example, 993096 + ... + 1000224.

It is an arithmetic number, because the mean of its divisors is an integer number (117113815).

Almost surely, 2^7105189140 is an apocalyptic number.

7105189140 is a gapful number since it is divisible by the number (70) 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 7105189140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648292020).

7105189140 is an abundant number, since it is smaller than the sum of its proper divisors (18191394900).

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

7105189140 is a wasteful number, since it uses less digits than its factorization.

7105189140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 7105189140 is about 84292.2839885123. The cubic root of 7105189140 is about 1922.4654688082.

The spelling of 7105189140 in words is "seven billion, one hundred five million, one hundred eighty-nine thousand, one hundred forty".