100513020 has 24 divisors (see below), whose sum is σ = 281436624. Its totient is φ = 26803456.

The previous prime is 100513019. The next prime is 100513033. The reversal of 100513020 is 20315001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100512987 and 100513005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837549 + ... + 837668.

It is an arithmetic number, because the mean of its divisors is an integer number (11726526).

Almost surely, 2^100513020 is an apocalyptic number.

100513020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100513020 is an abundant number, since it is smaller than the sum of its proper divisors (180923604).

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

100513020 is a wasteful number, since it uses less digits than its factorization.

100513020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675229 (or 1675227 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 100513020 is about 10025.6181854288. The cubic root of 100513020 is about 464.9512724984.

Adding to 100513020 its reverse (20315001), we get a palindrome (120828021).

The spelling of 100513020 in words is "one hundred million, five hundred thirteen thousand, twenty".