42100020 has 96 divisors (see below), whose sum is σ = 133539840. Its totient is φ = 11007360.

The previous prime is 42100013. The next prime is 42100027. The reversal of 42100020 is 2000124.

It is an interprime number because it is at equal distance from previous prime (42100013) and next prime (42100027).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 42099975 and 42100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27885 + ... + 29355.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 2^42100020 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 42100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66769920).

42100020 is an abundant number, since it is smaller than the sum of its proper divisors (91439820).

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

42100020 is a wasteful number, since it uses less digits than its factorization.

42100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 42100020 is about 6488.4528202030. The cubic root of 42100020 is about 347.8783760474.

Adding to 42100020 its reverse (2000124), we get a palindrome (44100144).

The spelling of 42100020 in words is "forty-two million, one hundred thousand, twenty".