42105362301 has 32 divisors (see below), whose sum is σ = 63445165440. Its totient is φ = 27590803200.

The previous prime is 42105362269. The next prime is 42105362303. The reversal of 42105362301 is 10326350124.

42105362301 is a `hidden beast` number, since 421 + 0 + 5 + 3 + 6 + 230 + 1 = 666.

It is not a de Polignac number, because 42105362301 - 2⁵ = 42105362269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105362303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2579301 + ... + 2595573.

It is an arithmetic number, because the mean of its divisors is an integer number (1982661420).

Almost surely, 2^42105362301 is an apocalyptic number.

It is an amenable number.

42105362301 is a deficient number, since it is larger than the sum of its proper divisors (21339803139).

42105362301 is a wasteful number, since it uses less digits than its factorization.

42105362301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17914 (or 17908 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 42105362301 in words is "forty-two billion, one hundred five million, three hundred sixty-two thousand, three hundred one".