51200100 has 324 divisors, whose sum is σ = 198101904. Its totient is φ = 11430720.

The previous prime is 51200099. The next prime is 51200101. The reversal of 51200100 is 100215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51200099) and next prime (51200101).

It is a tau number, because it is divible by the number of its divisors (324).

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

It is not an unprimeable number, because it can be changed into a prime (51200101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1190679 + ... + 1190721.

Almost surely, 2^51200100 is an apocalyptic number.

51200100 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 51200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99050952).

51200100 is an abundant number, since it is smaller than the sum of its proper divisors (146901804).

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

51200100 is a wasteful number, since it uses less digits than its factorization.

51200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

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

The square root of 51200100 is about 7155.4245157083. The cubic root of 51200100 is about 371.3273484383.

Adding to 51200100 its reverse (100215), we get a palindrome (51300315).

The spelling of 51200100 in words is "fifty-one million, two hundred thousand, one hundred".