5105100 has 288 divisors, whose sum is σ = 20998656. Its totient is φ = 921600.

The previous prime is 5105063. The next prime is 5105101. The reversal of 5105100 is 15015.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105101) 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 95 ways as a sum of consecutive naturals, for example, 300292 + ... + 300308.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

Almost surely, 2^5105100 is an apocalyptic number.

5105100 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 5105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

5105100 is an abundant number, since it is smaller than the sum of its proper divisors (15893556).

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

5105100 is a wasteful number, since it uses less digits than its factorization.

5105100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 5105100 is about 2259.4468349576. The cubic root of 5105100 is about 172.1874196450.

The spelling of 5105100 in words is "five million, one hundred five thousand, one hundred".