106905288 has 128 divisors (see below), whose sum is σ = 323942400. Its totient is φ = 28740096.

The previous prime is 106905283. The next prime is 106905313. The reversal of 106905288 is 882509601.

It is a super-2 number, since 2×106905288² = 22857481204725888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106905283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281883 + ... + 282261.

It is an arithmetic number, because the mean of its divisors is an integer number (2530800).

Almost surely, 2^106905288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106905288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161971200).

106905288 is an abundant number, since it is smaller than the sum of its proper divisors (217037112).

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

106905288 is a wasteful number, since it uses less digits than its factorization.

106905288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 106905288 is about 10339.5013419410. The cubic root of 106905288 is about 474.6058233078.

The spelling of 106905288 in words is "one hundred six million, nine hundred five thousand, two hundred eighty-eight".