42106288 has 60 divisors (see below), whose sum is σ = 97185000. Its totient is φ = 17611776.

The previous prime is 42106283. The next prime is 42106291. The reversal of 42106288 is 88260124.

It is not an unprimeable number, because it can be changed into a prime (42106283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33088 + ... + 34336.

It is an arithmetic number, because the mean of its divisors is an integer number (1619750).

Almost surely, 2^42106288 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 42106288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48592500).

42106288 is an abundant number, since it is smaller than the sum of its proper divisors (55078712).

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

42106288 is a wasteful number, since it uses less digits than its factorization.

42106288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 42106288 is about 6488.9358141378. The cubic root of 42106288 is about 347.8956396454.

The spelling of 42106288 in words is "forty-two million, one hundred six thousand, two hundred eighty-eight".