100105869 has 16 divisors (see below), whose sum is σ = 135010368. Its totient is φ = 65974272.

The previous prime is 100105853. The next prime is 100105879. The reversal of 100105869 is 968501001.

It is a happy number.

It is not a de Polignac number, because 100105869 - 2⁴ = 100105853 is a prime.

It is a super-2 number, since 2×100105869² = 20042370016490322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120634 + ... + 121460.

It is an arithmetic number, because the mean of its divisors is an integer number (8438148).

Almost surely, 2^100105869 is an apocalyptic number.

It is an amenable number.

100105869 is a deficient number, since it is larger than the sum of its proper divisors (34904499).

100105869 is a wasteful number, since it uses less digits than its factorization.

100105869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244.

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 100105869 is about 10005.2920497105. The cubic root of 100105869 is about 464.3226257135.

The spelling of 100105869 in words is "one hundred million, one hundred five thousand, eight hundred sixty-nine".