105890340 has 24 divisors (see below), whose sum is σ = 296493120. Its totient is φ = 28237408.

The previous prime is 105890333. The next prime is 105890347. The reversal of 105890340 is 43098501.

It is an interprime number because it is at equal distance from previous prime (105890333) and next prime (105890347).

It is a super-2 number, since 2×105890340² = 22425528210631200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105890298 and 105890307.

It is not an unprimeable number, because it can be changed into a prime (105890347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882360 + ... + 882479.

It is an arithmetic number, because the mean of its divisors is an integer number (12353880).

Almost surely, 2^105890340 is an apocalyptic number.

105890340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105890340 is an abundant number, since it is smaller than the sum of its proper divisors (190602780).

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

105890340 is a wasteful number, since it uses less digits than its factorization.

105890340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764851 (or 1764849 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105890340 is about 10290.3032025300. The cubic root of 105890340 is about 473.0990917071.

It can be divided in two parts, 105 and 890340, that added together give a triangular number (890445 = T₁₃₃₄).

The spelling of 105890340 in words is "one hundred five million, eight hundred ninety thousand, three hundred forty".