106027560 has 96 divisors (see below), whose sum is σ = 351154440. Its totient is φ = 27735552.

The previous prime is 106027553. The next prime is 106027583. The reversal of 106027560 is 65720601.

106027560 is a `hidden beast` number, since 1 + 0 + 602 + 7 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105390756 + 636804 = 10266^2 + 798^2 .

It is a super-2 number, since 2×106027560² = 22483686959107200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16302 + ... + 21858.

Almost surely, 2^106027560 is an apocalyptic number.

106027560 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 106027560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175577220).

106027560 is an abundant number, since it is smaller than the sum of its proper divisors (245126880).

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

106027560 is a wasteful number, since it uses less digits than its factorization.

106027560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106027560 is about 10296.9684859186. The cubic root of 106027560 is about 473.3033616324.

The spelling of 106027560 in words is "one hundred six million, twenty-seven thousand, five hundred sixty".