42102180 has 72 divisors (see below), whose sum is σ = 132455232. Its totient is φ = 11225952.

The previous prime is 42102173. The next prime is 42102187. The reversal of 42102180 is 8120124.

It is an interprime number because it is at equal distance from previous prime (42102173) and next prime (42102187).

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 (42102187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529 + ... + 9191.

It is an arithmetic number, because the mean of its divisors is an integer number (1839656).

Almost surely, 2^42102180 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 42102180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66227616).

42102180 is an abundant number, since it is smaller than the sum of its proper divisors (90353052).

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

42102180 is a wasteful number, since it uses less digits than its factorization.

42102180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8687 (or 8673 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 42102180 is about 6488.6192676100. The cubic root of 42102180 is about 347.8843254068.

The spelling of 42102180 in words is "forty-two million, one hundred two thousand, one hundred eighty".