2100105 has 48 divisors (see below), whose sum is σ = 4268160. Its totient is φ = 935424.

The previous prime is 2100097. The next prime is 2100113. The reversal of 2100105 is 5010012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100097) and next prime (2100113).

It is not a de Polignac number, because 2100105 - 2³ = 2100097 is a prime.

It is a super-2 number, since 2×2100105² = 8820882022050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

2100105 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18529 + ... + 18641.

It is an arithmetic number, because the mean of its divisors is an integer number (88920).

2^2100105 is an apocalyptic number.

It is an amenable number.

2100105 is an abundant number, since it is smaller than the sum of its proper divisors (2168055).

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

2100105 is a wasteful number, since it uses less digits than its factorization.

2100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 2100105 is about 1449.1739026080. The cubic root of 2100105 is about 128.0600507618.

Adding to 2100105 its reverse (5010012), we get a palindrome (7110117).

The spelling of 2100105 in words is "two million, one hundred thousand, one hundred five".