512010100 has 144 divisors (see below), whose sum is σ = 1351163520. Its totient is φ = 164505600.

The previous prime is 512010067. The next prime is 512010113. The reversal of 512010100 is 1010215.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1821960 + ... + 1822240.

It is an arithmetic number, because the mean of its divisors is an integer number (9383080).

Almost surely, 2^512010100 is an apocalyptic number.

512010100 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 512010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675581760).

512010100 is an abundant number, since it is smaller than the sum of its proper divisors (839153420).

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

512010100 is a wasteful number, since it uses less digits than its factorization.

512010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

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

The square root of 512010100 is about 22627.6401774467. The cubic root of 512010100 is about 800.0052603821.

Adding to 512010100 its reverse (1010215), we get a palindrome (513020315).

The spelling of 512010100 in words is "five hundred twelve million, ten thousand, one hundred".