2050052100 has 144 divisors (see below), whose sum is σ = 6553830528. Its totient is φ = 492124160.

The previous prime is 2050052093. The next prime is 2050052107. The reversal of 2050052100 is 12500502.

It is an interprime number because it is at equal distance from previous prime (2050052093) and next prime (2050052107).

It is a super-2 number, since 2×2050052100² = 8405427225428820000, which contains 22 as substring.

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 2050052100.

It is not an unprimeable number, because it can be changed into a prime (2050052107) by changing a digit.

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, 108562 + ... + 126038.

It is an arithmetic number, because the mean of its divisors is an integer number (45512712).

Almost surely, 2^2050052100 is an apocalyptic number.

2050052100 is a gapful number since it is divisible by the number (20) 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 2050052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276915264).

2050052100 is an abundant number, since it is smaller than the sum of its proper divisors (4503778428).

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

2050052100 is a wasteful number, since it uses less digits than its factorization.

2050052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17534 (or 17527 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2050052100 is about 45277.5010352824. The cubic root of 2050052100 is about 1270.3448543734.

Adding to 2050052100 its reverse (12500502), we get a palindrome (2062552602).

The spelling of 2050052100 in words is "two billion, fifty million, fifty-two thousand, one hundred".