105206740 has 12 divisors (see below), whose sum is σ = 220934196. Its totient is φ = 42082688.

The previous prime is 105206719. The next prime is 105206747. The reversal of 105206740 is 47602501.

It can be written as a sum of positive squares in 2 ways, for example, as 76003524 + 29203216 = 8718^2 + 5404^2 .

It is a super-2 number, since 2×105206740² = 22136916282855200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105206747) 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 3 ways as a sum of consecutive naturals, for example, 2630149 + ... + 2630188.

It is an arithmetic number, because the mean of its divisors is an integer number (18411183).

Almost surely, 2^105206740 is an apocalyptic number.

105206740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105206740 is an abundant number, since it is smaller than the sum of its proper divisors (115727456).

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

105206740 is a wasteful number, since it uses less digits than its factorization.

105206740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260346 (or 5260344 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 105206740 is about 10257.0336842578. The cubic root of 105206740 is about 472.0788255309.

The spelling of 105206740 in words is "one hundred five million, two hundred six thousand, seven hundred forty".