50107200 has 336 divisors, whose sum is σ = 195779136. Its totient is φ = 11059200.

The previous prime is 50107171. The next prime is 50107229. The reversal of 50107200 is 270105.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50107171) and next prime (50107229).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 50107200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686364 + ... + 686436.

It is an arithmetic number, because the mean of its divisors is an integer number (582676).

Almost surely, 2^50107200 is an apocalyptic number.

50107200 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 50107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97889568).

50107200 is an abundant number, since it is smaller than the sum of its proper divisors (145671936).

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

50107200 is a wasteful number, since it uses less digits than its factorization.

50107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 50107200 is about 7078.6439379305. The cubic root of 50107200 is about 368.6662473776. Note that the first 3 decimals are identical.

Adding to 50107200 its reverse (270105), we get a palindrome (50377305).

The spelling of 50107200 in words is "fifty million, one hundred seven thousand, two hundred".