100213516 has 24 divisors (see below), whose sum is σ = 189171360. Its totient is φ = 46177152.

The previous prime is 100213511. The next prime is 100213583. The reversal of 100213516 is 615312001.

It is a junction number, because it is equal to n+sod(n) for n = 100213493 and 100213502.

It is not an unprimeable number, because it can be changed into a prime (100213511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42480 + ... + 44776.

It is an arithmetic number, because the mean of its divisors is an integer number (7882140).

Almost surely, 2^100213516 is an apocalyptic number.

It is an amenable number.

100213516 is a deficient number, since it is larger than the sum of its proper divisors (88957844).

100213516 is a wasteful number, since it uses less digits than its factorization.

100213516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 100213516 is about 10010.6701074404. The cubic root of 100213516 is about 464.4889996827.

Adding to 100213516 its reverse (615312001), we get a palindrome (715525517).

The spelling of 100213516 in words is "one hundred million, two hundred thirteen thousand, five hundred sixteen".