105216000 has 192 divisors, whose sum is σ = 352628640. Its totient is φ = 27852800.

The previous prime is 105215993. The next prime is 105216017. The reversal of 105216000 is 612501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105216000² = 22140813312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767932 + ... + 768068.

Almost surely, 2^105216000 is an apocalyptic number.

105216000 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 105216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176314320).

105216000 is an abundant number, since it is smaller than the sum of its proper divisors (247412640).

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

105216000 is an equidigital number, since it uses as much as digits as its factorization.

105216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105216000 is about 10257.4850718877. The cubic root of 105216000 is about 472.0926754727.

Adding to 105216000 its reverse (612501), we get a palindrome (105828501).

The spelling of 105216000 in words is "one hundred five million, two hundred sixteen thousand".