510020100 has 108 divisors (see below), whose sum is σ = 1653839460. Its totient is φ = 131308800.

The previous prime is 510020087. The next prime is 510020123. The reversal of 510020100 is 1020015.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 34082244 + 475937856 = 5838^2 + 21816^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16330 + ... + 35870.

Almost surely, 2^510020100 is an apocalyptic number.

510020100 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 510020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826919730).

510020100 is an abundant number, since it is smaller than the sum of its proper divisors (1143819360).

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

510020100 is a wasteful number, since it uses less digits than its factorization.

510020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19590 (or 19580 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 510020100 is about 22583.6245983677. The cubic root of 510020100 is about 798.9674700089.

Adding to 510020100 its reverse (1020015), we get a palindrome (511040115).

It can be divided in two parts, 5100 and 20100, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 510020100 in words is "five hundred ten million, twenty thousand, one hundred".