102025008 has 70 divisors (see below), whose sum is σ = 296408484. Its totient is φ = 34004448.

The previous prime is 102024977. The next prime is 102025031. The reversal of 102025008 is 800520201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7291 + ... + 16037.

Almost surely, 2^102025008 is an apocalyptic number.

102025008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102025008 is the 5832-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102025008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148204242).

102025008 is an abundant number, since it is smaller than the sum of its proper divisors (194383476).

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

102025008 is an frugal number, since it uses more digits than its factorization.

102025008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773 (or 8752 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102025008 is about 10100.7429429721. The cubic root of 102025008 is about 467.2710545508.

Adding to 102025008 its reverse (800520201), we get a palindrome (902545209).

The spelling of 102025008 in words is "one hundred two million, twenty-five thousand, eight".