84042104108031 has 48 divisors (see below), whose sum is σ = 124900070929920. Its totient is φ = 54435938558400.

The previous prime is 84042104108009. The next prime is 84042104108107. The reversal of 84042104108031 is 13080140124048.

It is a happy number.

84042104108031 is a `hidden beast` number, since 8 + 404 + 210 + 4 + 1 + 0 + 8 + 0 + 31 = 666.

It is not a de Polignac number, because 84042104108031 - 2¹⁰ = 84042104107007 is a prime.

It is a super-2 number, since 2×84042104108031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84042104103031) 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, 13135366 + ... + 18455948.

It is an arithmetic number, because the mean of its divisors is an integer number (2602084811040).

Almost surely, 2^{84042104108031} is an apocalyptic number.

84042104108031 is a deficient number, since it is larger than the sum of its proper divisors (40857966821889).

84042104108031 is a wasteful number, since it uses less digits than its factorization.

84042104108031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320996 (or 5320993 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 84042104108031 in words is "eighty-four trillion, forty-two billion, one hundred four million, one hundred eight thousand, thirty-one".