105840270 has 80 divisors (see below), whose sum is σ = 291625488. Its totient is φ = 27527040.

The previous prime is 105840247. The next prime is 105840281. The reversal of 105840270 is 72048501.

105840270 is a `hidden beast` number, since 10 + 584 + 0 + 2 + 70 = 666.

It is a super-2 number, since 2×105840270² = 22404325507345800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31617 + ... + 34803.

Almost surely, 2^105840270 is an apocalyptic number.

105840270 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 105840270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145812744).

105840270 is an abundant number, since it is smaller than the sum of its proper divisors (185785218).

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

105840270 is a wasteful number, since it uses less digits than its factorization.

105840270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105840270 is about 10287.8700419475. The cubic root of 105840270 is about 473.0245120174.

Adding to 105840270 its reverse (72048501), we get a palindrome (177888771).

It can be divided in two parts, 1058 and 40270, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 105840270 in words is "one hundred five million, eight hundred forty thousand, two hundred seventy".