105693640 has 64 divisors (see below), whose sum is σ = 257241600. Its totient is φ = 38852352.

The previous prime is 105693619. The next prime is 105693649. The reversal of 105693640 is 46396501.

It is a super-2 number, since 2×105693640² = 22342291072899200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105693596 and 105693605.

It is not an unprimeable number, because it can be changed into a prime (105693649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228049 + ... + 228511.

It is an arithmetic number, because the mean of its divisors is an integer number (4019400).

Almost surely, 2^105693640 is an apocalyptic number.

105693640 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 105693640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128620800).

105693640 is an abundant number, since it is smaller than the sum of its proper divisors (151547960).

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

105693640 is a wasteful number, since it uses less digits than its factorization.

105693640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 105693640 is about 10280.7412184142. The cubic root of 105693640 is about 472.8059699984.

The spelling of 105693640 in words is "one hundred five million, six hundred ninety-three thousand, six hundred forty".