105245640 has 192 divisors, whose sum is σ = 375289200. Its totient is φ = 25460736.

The previous prime is 105245629. The next prime is 105245663. The reversal of 105245640 is 46542501.

105245640 is a `hidden beast` number, since 10 + 5 + 2 + 4 + 5 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 67864644 + 37380996 = 8238^2 + 6114^2 .

It is a super-2 number, since 2×105245640² = 22153289478019200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177184 + ... + 177776.

Almost surely, 2^105245640 is an apocalyptic number.

105245640 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 105245640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187644600).

105245640 is an abundant number, since it is smaller than the sum of its proper divisors (270043560).

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

105245640 is a wasteful number, since it uses less digits than its factorization.

105245640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 105245640 is about 10258.9297687429. The cubic root of 105245640 is about 472.1370017892.

The spelling of 105245640 in words is "one hundred five million, two hundred forty-five thousand, six hundred forty".