106560090 has 128 divisors (see below), whose sum is σ = 349816320. Its totient is φ = 22477824.

The previous prime is 106560079. The next prime is 106560101. The reversal of 106560090 is 90065601.

106560090 is a `hidden beast` number, since 1 + 0 + 656 + 0 + 0 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106560079) and next prime (106560101).

It is a super-2 number, since 2×106560090² = 22710105561616200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22402 + ... + 26738.

It is an arithmetic number, because the mean of its divisors is an integer number (2732940).

Almost surely, 2^106560090 is an apocalyptic number.

106560090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106560090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174908160).

106560090 is an abundant number, since it is smaller than the sum of its proper divisors (243256230).

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

106560090 is a wasteful number, since it uses less digits than its factorization.

106560090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4367 counting only the distinct ones).

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

The square root of 106560090 is about 10322.7946797367. The cubic root of 106560090 is about 474.0944372003.

The spelling of 106560090 in words is "one hundred six million, five hundred sixty thousand, ninety".