105670144 has 40 divisors (see below), whose sum is σ = 212497560. Its totient is φ = 52494336.

The previous prime is 105670133. The next prime is 105670183. The reversal of 105670144 is 441076501.

It is a super-2 number, since 2×105670144² = 22332358665961472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91072 + ... + 92224.

It is an arithmetic number, because the mean of its divisors is an integer number (5312439).

Almost surely, 2^105670144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106248780).

105670144 is an abundant number, since it is smaller than the sum of its proper divisors (106827416).

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

105670144 is an equidigital number, since it uses as much as digits as its factorization.

105670144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 105670144 is about 10279.5984357367. The cubic root of 105670144 is about 472.7709320265.

The spelling of 105670144 in words is "one hundred five million, six hundred seventy thousand, one hundred forty-four".