5360100 has 72 divisors (see below), whose sum is σ = 16436448. Its totient is φ = 1344000.

The previous prime is 5360077. The next prime is 5360101. The reversal of 5360100 is 10635.

5360100 = T₂₁₀ + T₂₁₁ + ... + T₃₄₅.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5360100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5360101) 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 23 ways as a sum of consecutive naturals, for example, 4575 + ... + 5625.

It is an arithmetic number, because the mean of its divisors is an integer number (228284).

Almost surely, 2^5360100 is an apocalyptic number.

5360100 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 5360100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8218224).

5360100 is an abundant number, since it is smaller than the sum of its proper divisors (11076348).

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

5360100 is a wasteful number, since it uses less digits than its factorization.

5360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5360100 is about 2315.1889771680. The cubic root of 5360100 is about 175.0078908007.

Adding to 5360100 its reverse (10635), we get a palindrome (5370735).

It can be divided in two parts, 5360 and 100, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 5360100 in words is "five million, three hundred sixty thousand, one hundred".