100100105 has 16 divisors (see below), whose sum is σ = 138568320. Its totient is φ = 67996032.

The previous prime is 100100089. The next prime is 100100107. The reversal of 100100105 is 501001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100100105 - 2⁴ = 100100089 is a prime.

It is a super-2 number, since 2×100100105² = 20040062042022050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100092 and 100100101.

It is not an unprimeable number, because it can be changed into a prime (100100107) 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, 9620 + ... + 17109.

It is an arithmetic number, because the mean of its divisors is an integer number (8660520).

Almost surely, 2^100100105 is an apocalyptic number.

It is an amenable number.

100100105 is a deficient number, since it is larger than the sum of its proper divisors (38468215).

100100105 is a wasteful number, since it uses less digits than its factorization.

100100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26848.

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 100100105 is about 10005.0039980002. The cubic root of 100100105 is about 464.3137137918.

Adding to 100100105 its reverse (501001001), we get a palindrome (601101106).

The spelling of 100100105 in words is "one hundred million, one hundred thousand, one hundred five".