2105670 has 64 divisors (see below), whose sum is σ = 5953536. Its totient is φ = 466560.

The previous prime is 2105669. The next prime is 2105681. The reversal of 2105670 is 765012.

It is a super-2 number, since 2×2105670² = 8867692297800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7635 + ... + 7905.

It is an arithmetic number, because the mean of its divisors is an integer number (93024).

2^2105670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976768).

2105670 is an abundant number, since it is smaller than the sum of its proper divisors (3847866).

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

2105670 is a wasteful number, since it uses less digits than its factorization.

2105670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2105670 is about 1451.0926917327. The cubic root of 2105670 is about 128.1730650520.

It can be divided in two parts, 2105 and 670, that added together give a triangular number (2775 = T₇₄).

The spelling of 2105670 in words is "two million, one hundred five thousand, six hundred seventy".