514420100 has 72 divisors (see below), whose sum is σ = 1137901128. Its totient is φ = 201830400.

The previous prime is 514420099. The next prime is 514420121. The reversal of 514420100 is 1024415.

It can be written as a sum of positive squares in 12 ways, for example, as 175933696 + 338486404 = 13264^2 + 18398^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1755554 + ... + 1755846.

Almost surely, 2^514420100 is an apocalyptic number.

514420100 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 514420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568950564).

514420100 is an abundant number, since it is smaller than the sum of its proper divisors (623481028).

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

514420100 is a wasteful number, since it uses less digits than its factorization.

514420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 514420100 is about 22680.8311135196. The cubic root of 514420100 is about 801.2584879719.

Adding to 514420100 its reverse (1024415), we get a palindrome (515444515).

The spelling of 514420100 in words is "five hundred fourteen million, four hundred twenty thousand, one hundred".