106287235728 has 80 divisors (see below), whose sum is σ = 275836690560. Its totient is φ = 35266710528.

The previous prime is 106287235727. The next prime is 106287235759. The reversal of 106287235728 is 827532782601.

It is a super-2 number, since 2×106287235728² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106287235721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9555226 + ... + 9566342.

It is an arithmetic number, because the mean of its divisors is an integer number (3447958632).

Almost surely, 2^106287235728 is an apocalyptic number.

It is an amenable number.

106287235728 is an abundant number, since it is smaller than the sum of its proper divisors (169549454832).

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

106287235728 is a wasteful number, since it uses less digits than its factorization.

106287235728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12024 (or 12018 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 106287235728 in words is "one hundred six billion, two hundred eighty-seven million, two hundred thirty-five thousand, seven hundred twenty-eight".