42407106 has 64 divisors (see below), whose sum is σ = 103092480. Its totient is φ = 11370240.

The previous prime is 42407089. The next prime is 42407111. The reversal of 42407106 is 60170424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44596 + ... + 45536.

It is an arithmetic number, because the mean of its divisors is an integer number (1610820).

Almost surely, 2^42407106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42407106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51546240).

42407106 is an abundant number, since it is smaller than the sum of its proper divisors (60685374).

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

42407106 is a wasteful number, since it uses less digits than its factorization.

42407106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42407106 is about 6512.0738632175. The cubic root of 42407106 is about 348.7221593633.

The spelling of 42407106 in words is "forty-two million, four hundred seven thousand, one hundred six".