42013100 has 36 divisors (see below), whose sum is σ = 92900304. Its totient is φ = 16486080.

The previous prime is 42013099. The next prime is 42013109. The reversal of 42013100 is 131024.

It is a happy number.

It is a super-2 number, since 2×42013100² = 3530201143220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42013109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1337 + ... + 9263.

It is an arithmetic number, because the mean of its divisors is an integer number (2580564).

Almost surely, 2^42013100 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 42013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46450152).

42013100 is an abundant number, since it is smaller than the sum of its proper divisors (50887204).

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

42013100 is a wasteful number, since it uses less digits than its factorization.

42013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 42013100 is about 6481.7513065529. The cubic root of 42013100 is about 347.6388003740.

Adding to 42013100 its reverse (131024), we get a palindrome (42144124).

The spelling of 42013100 in words is "forty-two million, thirteen thousand, one hundred".