5345100 has 54 divisors (see below), whose sum is σ = 16756740. Its totient is φ = 1425120.

The previous prime is 5345083. The next prime is 5345107. The reversal of 5345100 is 15435.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5345107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2070 + ... + 3869.

It is an arithmetic number, because the mean of its divisors is an integer number (310310).

Almost surely, 2^5345100 is an apocalyptic number.

5345100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5345100 is an abundant number, since it is smaller than the sum of its proper divisors (11411640).

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

5345100 is a wasteful number, since it uses less digits than its factorization.

5345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5345100 is about 2311.9472312317. The cubic root of 5345100 is about 174.8444876966.

It can be divided in two parts, 5345 and 100, that added together give a palindrome (5445).

The spelling of 5345100 in words is "five million, three hundred forty-five thousand, one hundred".