42355104 has 96 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 12153600.

The previous prime is 42355087. The next prime is 42355141. The reversal of 42355104 is 40155324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19009 + ... + 21119.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^42355104 is an apocalyptic number.

42355104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42355104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

42355104 is an abundant number, since it is smaller than the sum of its proper divisors (85378656).

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

42355104 is a wasteful number, since it uses less digits than its factorization.

42355104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42355104 is about 6508.0799011690. The cubic root of 42355104 is about 348.5795600924.

It can be divided in two parts, 4235 and 5104, that added together give a palindrome (9339).

The spelling of 42355104 in words is "forty-two million, three hundred fifty-five thousand, one hundred four".