83072107104 has 96 divisors (see below), whose sum is σ = 249318155520. Its totient is φ = 23725189632.

The previous prime is 83072107103. The next prime is 83072107133. The reversal of 83072107104 is 40170127038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83072107103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1709122 + ... + 1757054.

It is an arithmetic number, because the mean of its divisors is an integer number (2597064120).

Almost surely, 2^83072107104 is an apocalyptic number.

83072107104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83072107104 is an abundant number, since it is smaller than the sum of its proper divisors (166246048416).

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

83072107104 is a wasteful number, since it uses less digits than its factorization.

83072107104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50532 (or 50524 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 83072107104 in words is "eighty-three billion, seventy-two million, one hundred seven thousand, one hundred four".