100005516 has 60 divisors (see below), whose sum is σ = 281556352. Its totient is φ = 30769632.

The previous prime is 100005469. The next prime is 100005523. The reversal of 100005516 is 615500001.

It is a super-2 number, since 2×100005516² = 20002206460852512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7660 + ... + 16083.

Almost surely, 2^100005516 is an apocalyptic number.

It is an amenable number.

100005516 is an abundant number, since it is smaller than the sum of its proper divisors (181550836).

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

100005516 is a wasteful number, since it uses less digits than its factorization.

100005516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23772 (or 23761 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 100005516 is about 10000.2757961968. The cubic root of 100005516 is about 464.1674175390.

Adding to 100005516 its reverse (615500001), we get a palindrome (715505517).

The spelling of 100005516 in words is "one hundred million, five thousand, five hundred sixteen".