7105123872 has 864 divisors, whose sum is σ = 28274097600. Its totient is φ = 1724405760.

The previous prime is 7105123849. The next prime is 7105123919. The reversal of 7105123872 is 2783215017.

7105123872 is a `hidden beast` number, since 71 + 0 + 512 + 3 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97330428 + ... + 97330500.

It is an arithmetic number, because the mean of its divisors is an integer number (32724650).

Almost surely, 2^7105123872 is an apocalyptic number.

7105123872 is a gapful number since it is divisible by the number (72) 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 7105123872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137048800).

7105123872 is an abundant number, since it is smaller than the sum of its proper divisors (21168973728).

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

7105123872 is a wasteful number, since it uses less digits than its factorization.

7105123872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 7105123872 is about 84291.8968347492. The cubic root of 7105123872 is about 1922.4595822250.

Adding to 7105123872 its reverse (2783215017), we get a palindrome (9888338889).

The spelling of 7105123872 in words is "seven billion, one hundred five million, one hundred twenty-three thousand, eight hundred seventy-two".