50368100 has 36 divisors (see below), whose sum is σ = 112261044. Its totient is φ = 19601280.

The previous prime is 50368079. The next prime is 50368103. The reversal of 50368100 is 186305.

It can be written as a sum of positive squares in 6 ways, for example, as 4426816 + 45941284 = 2104^2 + 6778^2 .

It is a super-2 number, since 2×50368100² = 5073890995220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (50368103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3107 + ... + 10506.

Almost surely, 2^50368100 is an apocalyptic number.

50368100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50368100 is an abundant number, since it is smaller than the sum of its proper divisors (61892944).

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

50368100 is a wasteful number, since it uses less digits than its factorization.

50368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13664 (or 13657 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 50368100 is about 7097.0486823749. The cubic root of 50368100 is about 369.3050016569.

The spelling of 50368100 in words is "fifty million, three hundred sixty-eight thousand, one hundred".