5106067200 has 432 divisors, whose sum is σ = 20172563040. Its totient is φ = 1256325120.

The previous prime is 5106067157. The next prime is 5106067217. The reversal of 5106067200 is 27606015.

5106067200 is a `hidden beast` number, since 51 + 0 + 606 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2245264 + ... + 2247536.

Almost surely, 2^5106067200 is an apocalyptic number.

5106067200 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 5106067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10086281520).

5106067200 is an abundant number, since it is smaller than the sum of its proper divisors (15066495840).

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

5106067200 is a wasteful number, since it uses less digits than its factorization.

5106067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5106067200 is about 71456.7505558432. The cubic root of 5106067200 is about 1721.9829303022.

The spelling of 5106067200 in words is "five billion, one hundred six million, sixty-seven thousand, two hundred".