50202100 has 108 divisors (see below), whose sum is σ = 124321036. Its totient is φ = 17487360.

The previous prime is 50202091. The next prime is 50202107. The reversal of 50202100 is 120205.

It can be written as a sum of positive squares in 6 ways, for example, as 4477456 + 45724644 = 2116^2 + 6762^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50202107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 687664 + ... + 687736.

Almost surely, 2^50202100 is an apocalyptic number.

50202100 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 50202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62160518).

50202100 is an abundant number, since it is smaller than the sum of its proper divisors (74118936).

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

50202100 is a wasteful number, since it uses less digits than its factorization.

50202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 50202100 is about 7085.3440283447. The cubic root of 50202100 is about 368.8988444408.

Adding to 50202100 its reverse (120205), we get a palindrome (50322305).

The spelling of 50202100 in words is "fifty million, two hundred two thousand, one hundred".