100105506 has 24 divisors (see below), whose sum is σ = 224375580. Its totient is φ = 32217696.

The previous prime is 100105487. The next prime is 100105507. The reversal of 100105506 is 605501001.

100105506 is a `hidden beast` number, since 100 + 10 + 550 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98307225 + 1798281 = 9915^2 + 1341^2 .

It is a super-2 number, since 2×100105506² = 20042224663032072, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100105507) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 95365 + ... + 96408.

Almost surely, 2^100105506 is an apocalyptic number.

100105506 is an abundant number, since it is smaller than the sum of its proper divisors (124270074).

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

100105506 is a wasteful number, since it uses less digits than its factorization.

100105506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191810 (or 191807 counting only the distinct ones).

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

The square root of 100105506 is about 10005.2739092940. The cubic root of 100105506 is about 464.3220644766.

Adding to 100105506 its reverse (605501001), we get a palindrome (705606507).

The spelling of 100105506 in words is "one hundred million, one hundred five thousand, five hundred six".