42104101 has 12 divisors (see below), whose sum is σ = 46254628. Its totient is φ = 38098944.

The previous prime is 42104071. The next prime is 42104119. The reversal of 42104101 is 10140124.

It can be written as a sum of positive squares in 6 ways, for example, as 1476225 + 40627876 = 1215^2 + 6374^2 .

It is not a de Polignac number, because 42104101 - 2²¹ = 40006949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42104131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35941 + ... + 37093.

Almost surely, 2^42104101 is an apocalyptic number.

It is an amenable number.

42104101 is a deficient number, since it is larger than the sum of its proper divisors (4150527).

42104101 is a wasteful number, since it uses less digits than its factorization.

42104101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 42104101 is about 6488.7672943326. The cubic root of 42104101 is about 347.8896163096.

Adding to 42104101 its reverse (10140124), we get a palindrome (52244225).

The spelling of 42104101 in words is "forty-two million, one hundred four thousand, one hundred one".