106560000 has 300 divisors, whose sum is σ = 394687722. Its totient is φ = 27648000.

The previous prime is 106559993. The next prime is 106560011. The reversal of 106560000 is 65601.

106560000 is a `hidden beast` number, since 1 + 0 + 65 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 11614464 + 94945536 = 3408^2 + 9744^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×106560000² = 22710067200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879982 + ... + 2880018.

Almost surely, 2^106560000 is an apocalyptic number.

106560000 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 106560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197343861).

106560000 is an abundant number, since it is smaller than the sum of its proper divisors (288127722).

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

106560000 is an frugal number, since it uses more digits than its factorization.

106560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106560000 is about 10322.7903204512. The cubic root of 106560000 is about 474.0943037278.

The spelling of 106560000 in words is "one hundred six million, five hundred sixty thousand".