105616000 has 256 divisors, whose sum is σ = 320785920. Its totient is φ = 33792000.

The previous prime is 105615971. The next prime is 105616001. The reversal of 105616000 is 616501.

It is a super-2 number, since 2×105616000² = 22309478912000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105616001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2575980 + ... + 2576020.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^105616000 is an apocalyptic number.

105616000 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 105616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

105616000 is an abundant number, since it is smaller than the sum of its proper divisors (215169920).

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

105616000 is an equidigital number, since it uses as much as digits as its factorization.

105616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105616000 is about 10276.9645323899. The cubic root of 105616000 is about 472.6901710168.

It can be divided in two parts, 10561 and 6000, that added together give a palindrome (16561).

The spelling of 105616000 in words is "one hundred five million, six hundred sixteen thousand".