5388100 has 18 divisors (see below), whose sum is σ = 11692394. Its totient is φ = 2155200.

The previous prime is 5388091. The next prime is 5388101. The reversal of 5388100 is 18835.

5388100 = T₂₇₇ + T₂₇₈ + ... + T₃₇₆.

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 5008644 = 616^2 + 2238^2 .

It is a super-2 number, since 2×5388100² = 58063243220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5388101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26841 + ... + 27040.

Almost surely, 2^5388100 is an apocalyptic number.

5388100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5388100 is an abundant number, since it is smaller than the sum of its proper divisors (6304294).

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

5388100 is a wasteful number, since it uses less digits than its factorization.

5388100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53895 (or 53888 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 5388100 is about 2321.2281232141. The cubic root of 5388100 is about 175.3120961361.

The spelling of 5388100 in words is "five million, three hundred eighty-eight thousand, one hundred".