42166124 has 48 divisors (see below), whose sum is σ = 99085056. Its totient is φ = 15163200.

The previous prime is 42166123. The next prime is 42166133.

42166124 is nontrivially palindromic in base 10.

42166124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 42166093 and 42166102.

It is not an unprimeable number, because it can be changed into a prime (42166123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1262 + ... + 9269.

It is an arithmetic number, because the mean of its divisors is an integer number (2064272).

Almost surely, 2^42166124 is an apocalyptic number.

42166124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42166124 is an abundant number, since it is smaller than the sum of its proper divisors (56918932).

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

42166124 is a wasteful number, since it uses less digits than its factorization.

42166124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10566 (or 10564 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 42166124 is about 6493.5447946403. The cubic root of 42166124 is about 348.0603563785.

The spelling of 42166124 in words is "forty-two million, one hundred sixty-six thousand, one hundred twenty-four".