42106896 has 120 divisors (see below), whose sum is σ = 128908416. Its totient is φ = 12752640.

The previous prime is 42106873. The next prime is 42106901. The reversal of 42106896 is 69860124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42106896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155241 + ... + 155511.

Almost surely, 2^42106896 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 42106896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64454208).

42106896 is an abundant number, since it is smaller than the sum of its proper divisors (86801520).

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

42106896 is a wasteful number, since it uses less digits than its factorization.

42106896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42106896 is about 6488.9826629449. The cubic root of 42106896 is about 347.8973141343.

The spelling of 42106896 in words is "forty-two million, one hundred six thousand, eight hundred ninety-six".