5261100 has 144 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1209600.

The previous prime is 5261099. The next prime is 5261101. The reversal of 5261100 is 11625.

It is an interprime number because it is at equal distance from previous prime (5261099) and next prime (5261101).

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 5261100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74065 + ... + 74135.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

Almost surely, 2^5261100 is an apocalyptic number.

5261100 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 5261100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

5261100 is an abundant number, since it is smaller than the sum of its proper divisors (12237780).

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

5261100 is a wasteful number, since it uses less digits than its factorization.

5261100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 5261100 is about 2293.7087870957. The cubic root of 5261100 is about 173.9237345783.

Adding to 5261100 its reverse (11625), we get a palindrome (5272725).

The spelling of 5261100 in words is "five million, two hundred sixty-one thousand, one hundred".