42098112 has 168 divisors, whose sum is σ = 141219936. Its totient is φ = 11741184.

The previous prime is 42098107. The next prime is 42098131. The reversal of 42098112 is 21189024.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213598 + ... + 213794.

Almost surely, 2^42098112 is an apocalyptic number.

42098112 is a gapful number since it is divisible by the number (42) 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 42098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70609968).

42098112 is an abundant number, since it is smaller than the sum of its proper divisors (99121824).

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

42098112 is a wasteful number, since it uses less digits than its factorization.

42098112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

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

The square root of 42098112 is about 6488.3057881083. The cubic root of 42098112 is about 347.8731206108.

It can be divided in two parts, 4209 and 8112, that added together give a palindrome (12321).

The spelling of 42098112 in words is "forty-two million, ninety-eight thousand, one hundred twelve".