42100560 has 200 divisors, whose sum is σ = 149889960. Its totient is φ = 10948608.

The previous prime is 42100559. The next prime is 42100607. The reversal of 42100560 is 6500124.

It is a happy number.

42100560 is a `hidden beast` number, since 4 + 2 + 100 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 40602384 = 1224^2 + 6372^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 472996 + ... + 473084.

Almost surely, 2^42100560 is an apocalyptic number.

42100560 is a gapful number since it is divisible by the number (40) 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 42100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74944980).

42100560 is an abundant number, since it is smaller than the sum of its proper divisors (107789400).

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

42100560 is a wasteful number, since it uses less digits than its factorization.

42100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42100560 is about 6488.4944324550. The cubic root of 42100560 is about 347.8798634064.

Adding to 42100560 its reverse (6500124), we get a palindrome (48600684).

The spelling of 42100560 in words is "forty-two million, one hundred thousand, five hundred sixty".