105246640 has 40 divisors (see below), whose sum is σ = 245698560. Its totient is φ = 41926656.

The previous prime is 105246593. The next prime is 105246641. The reversal of 105246640 is 46642501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105246640² = 22153710462579200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105246599 and 105246608.

It is not an unprimeable number, because it can be changed into a prime (105246641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18001 + ... + 23119.

It is an arithmetic number, because the mean of its divisors is an integer number (6142464).

Almost surely, 2^105246640 is an apocalyptic number.

105246640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105246640 is an abundant number, since it is smaller than the sum of its proper divisors (140451920).

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

105246640 is a wasteful number, since it uses less digits than its factorization.

105246640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 105246640 is about 10258.9785066545. The cubic root of 105246640 is about 472.1384971338.

The spelling of 105246640 in words is "one hundred five million, two hundred forty-six thousand, six hundred forty".