105671020 has 48 divisors (see below), whose sum is σ = 273123648. Its totient is φ = 33442560.

The previous prime is 105671011. The next prime is 105671021. The reversal of 105671020 is 20176501.

It is a super-2 number, since 2×105671020² = 22332728935680800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105670982 and 105671000.

It is not an unprimeable number, because it can be changed into a prime (105671021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27211 + ... + 30850.

It is an arithmetic number, because the mean of its divisors is an integer number (5690076).

Almost surely, 2^105671020 is an apocalyptic number.

105671020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105671020 is an abundant number, since it is smaller than the sum of its proper divisors (167452628).

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

105671020 is a wasteful number, since it uses less digits than its factorization.

105671020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58090 (or 58088 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 105671020 is about 10279.6410443167. The cubic root of 105671020 is about 472.7722384384.

The spelling of 105671020 in words is "one hundred five million, six hundred seventy-one thousand, twenty".