42102918 has 72 divisors (see below), whose sum is σ = 108055584. Its totient is φ = 11769120.

The previous prime is 42102911. The next prime is 42102923. The reversal of 42102918 is 81920124.

It is a super-2 number, since 2×42102918² = 3545311408229448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42102891 and 42102900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102911) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27571 + ... + 29057.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 2^42102918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42102918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027792).

42102918 is an abundant number, since it is smaller than the sum of its proper divisors (65952666).

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

42102918 is a wasteful number, since it uses less digits than its factorization.

42102918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 42102918 is about 6488.6761361621. The cubic root of 42102918 is about 347.8863580579.

The spelling of 42102918 in words is "forty-two million, one hundred two thousand, nine hundred eighteen".