105704640 has 252 divisors, whose sum is σ = 389266176. Its totient is φ = 26320896.

The previous prime is 105704633. The next prime is 105704647. The reversal of 105704640 is 46407501.

105704640 is a `hidden beast` number, since 10 + 5 + 7 + 0 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (105704633) and next prime (105704647).

It is a super-2 number, since 2×105704640² = 22346941835059200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105704647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832257 + ... + 832383.

Almost surely, 2^105704640 is an apocalyptic number.

105704640 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 105704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194633088).

105704640 is an abundant number, since it is smaller than the sum of its proper divisors (283561536).

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

105704640 is a wasteful number, since it uses less digits than its factorization.

105704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

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

The square root of 105704640 is about 10281.2761853770. The cubic root of 105704640 is about 472.8223717587.

The spelling of 105704640 in words is "one hundred five million, seven hundred four thousand, six hundred forty".