106825107588 has 24 divisors (see below), whose sum is σ = 249268713792. Its totient is φ = 35606922144.

The previous prime is 106825107527. The next prime is 106825107659. The reversal of 106825107588 is 885701528601.

106825107588 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106825107588² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106825107588.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151081 + ... + 486287.

It is an arithmetic number, because the mean of its divisors is an integer number (10386196408).

Almost surely, 2^106825107588 is an apocalyptic number.

It is an amenable number.

106825107588 is an abundant number, since it is smaller than the sum of its proper divisors (142443606204).

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

106825107588 is a wasteful number, since it uses less digits than its factorization.

106825107588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361771 (or 361769 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 51.

The spelling of 106825107588 in words is "one hundred six billion, eight hundred twenty-five million, one hundred seven thousand, five hundred eighty-eight".