5468100 has 72 divisors (see below), whose sum is σ = 17269728. Its totient is φ = 1324800.

The previous prime is 5468093. The next prime is 5468107. The reversal of 5468100 is 18645.

It is an interprime number because it is at equal distance from previous prime (5468093) and next prime (5468107).

It is a super-2 number, since 2×5468100² = 59800235220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5468107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2472 + ... + 4128.

Almost surely, 2^5468100 is an apocalyptic number.

5468100 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 5468100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634864).

5468100 is an abundant number, since it is smaller than the sum of its proper divisors (11801628).

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

5468100 is a wasteful number, since it uses less digits than its factorization.

5468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5468100 is about 2338.3968867581. The cubic root of 5468100 is about 176.1754878435.

It can be divided in two parts, 546 and 8100, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 5468100 in words is "five million, four hundred sixty-eight thousand, one hundred".