105740640 has 240 divisors, whose sum is σ = 384199200. Its totient is φ = 27371520.

The previous prime is 105740623. The next prime is 105740689. The reversal of 105740640 is 46047501.

105740640 is a `hidden beast` number, since 10 + 5 + 7 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105740640² = 22362165895219200, 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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 531261 + ... + 531459.

It is an arithmetic number, because the mean of its divisors is an integer number (1600830).

Almost surely, 2^105740640 is an apocalyptic number.

105740640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192099600).

105740640 is an abundant number, since it is smaller than the sum of its proper divisors (278458560).

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

105740640 is a wasteful number, since it uses less digits than its factorization.

105740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105740640 is about 10283.0267917574. The cubic root of 105740640 is about 472.8760422926.

The spelling of 105740640 in words is "one hundred five million, seven hundred forty thousand, six hundred forty".