42115104 has 72 divisors (see below), whose sum is σ = 120442140. Its totient is φ = 13959168.

The previous prime is 42115097. The next prime is 42115121. The reversal of 42115104 is 40151124.

It can be written as a sum of positive squares in 2 ways, for example, as 41216400 + 898704 = 6420^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73732 + ... + 74300.

Almost surely, 2^42115104 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 42115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60221070).

42115104 is an abundant number, since it is smaller than the sum of its proper divisors (78327036).

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

42115104 is a wasteful number, since it uses less digits than its factorization.

42115104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 42115104 is about 6489.6150887399. The cubic root of 42115104 is about 347.9199181564.

Adding to 42115104 its reverse (40151124), we get a palindrome (82266228).

The spelling of 42115104 in words is "forty-two million, one hundred fifteen thousand, one hundred four".