106090560 has 140 divisors (see below), whose sum is σ = 377474988. Its totient is φ = 28283904.

The previous prime is 106090553. The next prime is 106090561. The reversal of 106090560 is 65090601.

106090560 is a `hidden beast` number, since 1 + 0 + 609 + 0 + 56 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41062464 + 65028096 = 6408^2 + 8064^2 .

It is a super-2 number, since 2×106090560² = 22510413842227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106090561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23874 + ... + 27966.

Almost surely, 2^106090560 is an apocalyptic number.

106090560 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 106090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188737494).

106090560 is an abundant number, since it is smaller than the sum of its proper divisors (271384428).

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

106090560 is an equidigital number, since it uses as much as digits as its factorization.

106090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 106090560 is about 10300.0271844301. The cubic root of 106090560 is about 473.3970863454.

The spelling of 106090560 in words is "one hundred six million, ninety thousand, five hundred sixty".