42601104 has 120 divisors (see below), whose sum is σ = 146782272. Its totient is φ = 11232000.

The previous prime is 42601103. The next prime is 42601123. The reversal of 42601104 is 40110624.

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

It is not an unprimeable number, because it can be changed into a prime (42601103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11479 + ... + 14729.

Almost surely, 2^42601104 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 42601104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73391136).

42601104 is an abundant number, since it is smaller than the sum of its proper divisors (104181168).

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

42601104 is a wasteful number, since it uses less digits than its factorization.

42601104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42601104 is about 6526.9521217794. The cubic root of 42601104 is about 349.2531120625.

Adding to 42601104 its reverse (40110624), we get a palindrome (82711728).

The spelling of 42601104 in words is "forty-two million, six hundred one thousand, one hundred four".