42101345 has 48 divisors (see below), whose sum is σ = 61535376. Its totient is φ = 27456000.

The previous prime is 42101341. The next prime is 42101357. The reversal of 42101345 is 54310124.

It can be written as a sum of positive squares in 8 ways, for example, as 833569 + 41267776 = 913^2 + 6424^2 .

It is not a de Polignac number, because 42101345 - 2² = 42101341 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42101341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416795 + ... + 416895.

It is an arithmetic number, because the mean of its divisors is an integer number (1281987).

Almost surely, 2^42101345 is an apocalyptic number.

It is an amenable number.

42101345 is a deficient number, since it is larger than the sum of its proper divisors (19434031).

42101345 is a wasteful number, since it uses less digits than its factorization.

42101345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 42101345 is about 6488.5549238640. The cubic root of 42101345 is about 347.8820255628.

Adding to 42101345 its reverse (54310124), we get a palindrome (96411469).

It can be divided in two parts, 4210 and 1345, that added together give a palindrome (5555).

The spelling of 42101345 in words is "forty-two million, one hundred one thousand, three hundred forty-five".