102071008 has 48 divisors (see below), whose sum is σ = 218178576. Its totient is φ = 46725120.

The previous prime is 102070999. The next prime is 102071023. The reversal of 102071008 is 800170201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53560 + ... + 55432.

It is an arithmetic number, because the mean of its divisors is an integer number (4545387).

Almost surely, 2^102071008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102071008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109089288).

102071008 is an abundant number, since it is smaller than the sum of its proper divisors (116107568).

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

102071008 is a wasteful number, since it uses less digits than its factorization.

102071008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 102071008 is about 10103.0197465906. The cubic root of 102071008 is about 467.3412701425.

The spelling of 102071008 in words is "one hundred two million, seventy-one thousand, eight".