105600000 has 264 divisors, whose sum is σ = 383787936. Its totient is φ = 25600000.

The previous prime is 105599993. The next prime is 105600007. The reversal of 105600000 is 6501.

It is an interprime number because it is at equal distance from previous prime (105599993) and next prime (105600007).

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×105600000² = 22302720000000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105600007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9599995 + ... + 9600005.

Almost surely, 2^105600000 is an apocalyptic number.

105600000 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 105600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191893968).

105600000 is an abundant number, since it is smaller than the sum of its proper divisors (278187936).

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

105600000 is an frugal number, since it uses more digits than its factorization.

105600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105600000 is about 10276.1860629321. The cubic root of 105600000 is about 472.6663001870. Note that the first 3 decimals are identical.

Adding to 105600000 its reverse (6501), we get a palindrome (105606501).

The spelling of 105600000 in words is "one hundred five million, six hundred thousand".