100013028 has 48 divisors (see below), whose sum is σ = 237504960. Its totient is φ = 32752000.

The previous prime is 100013027. The next prime is 100013071. The reversal of 100013028 is 820310001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100012998 and 100013016.

It is not an unprimeable number, because it can be changed into a prime (100013021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216718 + ... + 217178.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2^100013028 is an apocalyptic number.

It is an amenable number.

100013028 is an abundant number, since it is smaller than the sum of its proper divisors (137491932).

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

100013028 is a wasteful number, since it uses less digits than its factorization.

100013028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100013028 is about 10000.6513787853. The cubic root of 100013028 is about 464.1790393591.

Adding to 100013028 its reverse (820310001), we get a palindrome (920323029).

It can be divided in two parts, 1000 and 13028, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 100013028 in words is "one hundred million, thirteen thousand, twenty-eight".