42091104 has 96 divisors (see below), whose sum is σ = 125846784. Its totient is φ = 12193280.

The previous prime is 42091097. The next prime is 42091117. The reversal of 42091104 is 40119024.

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

It is a super-2 number, since 2×42091104² = 3543322071877632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23422 + ... + 25154.

It is an arithmetic number, because the mean of its divisors is an integer number (1310904).

Almost surely, 2^42091104 is an apocalyptic number.

42091104 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 42091104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62923392).

42091104 is an abundant number, since it is smaller than the sum of its proper divisors (83755680).

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

42091104 is a wasteful number, since it uses less digits than its factorization.

42091104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 42091104 is about 6487.7657171017. The cubic root of 42091104 is about 347.8538162603.

It can be divided in two parts, 42091 and 104, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 42091104 in words is "forty-two million, ninety-one thousand, one hundred four".