105563640 has 192 divisors, whose sum is σ = 397020960. Its totient is φ = 22256640.

The previous prime is 105563597. The next prime is 105563737. The reversal of 105563640 is 46365501.

It is a super-2 number, since 2×105563640² = 22287364180099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105563598 and 105563607.

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, 75750 + ... + 77130.

Almost surely, 2^105563640 is an apocalyptic number.

105563640 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 105563640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198510480).

105563640 is an abundant number, since it is smaller than the sum of its proper divisors (291457320).

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

105563640 is a wasteful number, since it uses less digits than its factorization.

105563640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 105563640 is about 10274.4167717686. The cubic root of 105563640 is about 472.6120447591.

It can be divided in two parts, 10556 and 3640, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 105563640 in words is "one hundred five million, five hundred sixty-three thousand, six hundred forty".