105806190 has 96 divisors (see below), whose sum is σ = 297851904. Its totient is φ = 23983680.

The previous prime is 105806189. The next prime is 105806203. The reversal of 105806190 is 91608501.

It is a happy number.

It is a super-2 number, since 2×105806190² = 22389899684632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245275 + ... + 245705.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624).

Almost surely, 2^105806190 is an apocalyptic number.

105806190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105806190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

105806190 is an abundant number, since it is smaller than the sum of its proper divisors (192045714).

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

105806190 is a wasteful number, since it uses less digits than its factorization.

105806190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 105806190 is about 10286.2135890715. The cubic root of 105806190 is about 472.9737361141.

The spelling of 105806190 in words is "one hundred five million, eight hundred six thousand, one hundred ninety".