100105885 has 16 divisors (see below), whose sum is σ = 132632640. Its totient is φ = 71923840.

The previous prime is 100105879. The next prime is 100105891. The reversal of 100105885 is 588501001.

It is an interprime number because it is at equal distance from previous prime (100105879) and next prime (100105891).

It is not a de Polignac number, because 100105885 - 2⁵ = 100105853 is a prime.

It is a super-3 number, since 3×100105885³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6400 + ... + 15529.

It is an arithmetic number, because the mean of its divisors is an integer number (8289540).

Almost surely, 2^100105885 is an apocalyptic number.

It is an amenable number.

100105885 is a deficient number, since it is larger than the sum of its proper divisors (32526755).

100105885 is a wasteful number, since it uses less digits than its factorization.

100105885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22028.

The product of its (nonzero) digits is 1600, while the sum is 28.

The square root of 100105885 is about 10005.2928492873. The cubic root of 100105885 is about 464.3226504512.

Adding to 100105885 its reverse (588501001), we get a palindrome (688606886).

The spelling of 100105885 in words is "one hundred million, one hundred five thousand, eight hundred eighty-five".