107085126824 has 32 divisors (see below), whose sum is σ = 216348061440. Its totient is φ = 49396824000.

The previous prime is 107085126809. The next prime is 107085126847. The reversal of 107085126824 is 428621580701.

It is a super-3 number, since 3×107085126824³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 90752 + ... + 471599.

It is an arithmetic number, because the mean of its divisors is an integer number (6760876920).

Almost surely, 2^107085126824 is an apocalyptic number.

It is an amenable number.

107085126824 is an abundant number, since it is smaller than the sum of its proper divisors (109262934616).

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

107085126824 is a wasteful number, since it uses less digits than its factorization.

107085126824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564201 (or 564197 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 107085126824 in words is "one hundred seven billion, eighty-five million, one hundred twenty-six thousand, eight hundred twenty-four".