5845071100 has 72 divisors (see below), whose sum is σ = 13849144848. Its totient is φ = 2123596800.

The previous prime is 5845071083. The next prime is 5845071103. The reversal of 5845071100 is 11705485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5845071103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2058882 + ... + 2061718.

It is an arithmetic number, because the mean of its divisors is an integer number (192349234).

Almost surely, 2^5845071100 is an apocalyptic number.

5845071100 is a gapful number since it is divisible by the number (50) 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 5845071100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924572424).

5845071100 is an abundant number, since it is smaller than the sum of its proper divisors (8004073748).

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

5845071100 is a wasteful number, since it uses less digits than its factorization.

5845071100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The square root of 5845071100 is about 76453.0646867737. The cubic root of 5845071100 is about 1801.3437599633.

Adding to 5845071100 its reverse (11705485), we get a palindrome (5856776585).

The spelling of 5845071100 in words is "five billion, eight hundred forty-five million, seventy-one thousand, one hundred".