5102100 has 54 divisors (see below), whose sum is σ = 15995070. Its totient is φ = 1360320.

The previous prime is 5102087. The next prime is 5102107. The reversal of 5102100 is 12015.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 66564 + 5035536 = 258^2 + 2244^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102107) 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 17 ways as a sum of consecutive naturals, for example, 1935 + ... + 3734.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

Almost surely, 2^5102100 is an apocalyptic number.

5102100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5102100 is an abundant number, since it is smaller than the sum of its proper divisors (10892970).

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

5102100 is a wasteful number, since it uses less digits than its factorization.

5102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 5102100 is about 2258.7828580897. The cubic root of 5102100 is about 172.1536845254.

Adding to 5102100 its reverse (12015), we get a palindrome (5114115).

The spelling of 5102100 in words is "five million, one hundred two thousand, one hundred".