105745640 has 256 divisors, whose sum is σ = 338688000. Its totient is φ = 28615680.

The previous prime is 105745637. The next prime is 105745657. The reversal of 105745640 is 46547501.

It is a super-2 number, since 2×105745640² = 22364280758019200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105745597 and 105745606.

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 63 ways as a sum of consecutive naturals, for example, 760691 + ... + 760829.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2^105745640 is an apocalyptic number.

105745640 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 105745640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

105745640 is an abundant number, since it is smaller than the sum of its proper divisors (232942360).

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

105745640 is a wasteful number, since it uses less digits than its factorization.

105745640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 105745640 is about 10283.2699079622. The cubic root of 105745640 is about 472.8834955699.

It can be divided in two parts, 10 and 5745640, that multiplied together give a square (57456400 = 7580²).

The spelling of 105745640 in words is "one hundred five million, seven hundred forty-five thousand, six hundred forty".