5112900 has 216 divisors, whose sum is σ = 18957120. Its totient is φ = 1140480.

The previous prime is 5112889. The next prime is 5112901. The reversal of 5112900 is 92115.

It is a super-2 number, since 2×5112900² = 52283492820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5112901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 222289 + ... + 222311.

Almost surely, 2^5112900 is an apocalyptic number.

5112900 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 5112900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478560).

5112900 is an abundant number, since it is smaller than the sum of its proper divisors (13844220).

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

5112900 is a wasteful number, since it uses less digits than its factorization.

5112900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 5112900 is about 2261.1722623454. The cubic root of 5112900 is about 172.2750691484.

The spelling of 5112900 in words is "five million, one hundred twelve thousand, nine hundred".