5378100 has 144 divisors (see below), whose sum is σ = 19248768. Its totient is φ = 1128960.

The previous prime is 5378089. The next prime is 5378101. The reversal of 5378100 is 18735.

It is a super-2 number, since 2×5378100² = 57847919220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5378101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27202 + ... + 27398.

It is an arithmetic number, because the mean of its divisors is an integer number (133672).

Almost surely, 2^5378100 is an apocalyptic number.

5378100 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 5378100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624384).

5378100 is an abundant number, since it is smaller than the sum of its proper divisors (13870668).

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

5378100 is a wasteful number, since it uses less digits than its factorization.

5378100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 5378100 is about 2319.0730906981. The cubic root of 5378100 is about 175.2035726216.

The spelling of 5378100 in words is "five million, three hundred seventy-eight thousand, one hundred".