105996800 has 270 divisors, whose sum is σ = 330798303. Its totient is φ = 33546240.

The previous prime is 105996799. The next prime is 105996817. The reversal of 105996800 is 8699501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 6635776 + 99361024 = 2576^2 + 9968^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7280.

It is a super-2 number, since 2×105996800² = 22470643220480000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8153594 + ... + 8153606.

Almost surely, 2^105996800 is an apocalyptic number.

105996800 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 105996800

105996800 is an abundant number, since it is smaller than the sum of its proper divisors (224801503).

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

105996800 is an equidigital number, since it uses as much as digits as its factorization.

105996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 105996800 is about 10295.4747340761. The cubic root of 105996800 is about 473.2575866800.

The spelling of 105996800 in words is "one hundred five million, nine hundred ninety-six thousand, eight hundred".