102008720 has 80 divisors (see below), whose sum is σ = 272393280. Its totient is φ = 35136000.

The previous prime is 102008719. The next prime is 102008761. The reversal of 102008720 is 27800201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102008692 and 102008701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13670 + ... + 19770.

It is an arithmetic number, because the mean of its divisors is an integer number (3404916).

Almost surely, 2^102008720 is an apocalyptic number.

102008720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102008720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136196640).

102008720 is an abundant number, since it is smaller than the sum of its proper divisors (170384560).

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

102008720 is a wasteful number, since it uses less digits than its factorization.

102008720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 102008720 is about 10099.9366334646. The cubic root of 102008720 is about 467.2461870661.

Adding to 102008720 its reverse (27800201), we get a palindrome (129808921).

The spelling of 102008720 in words is "one hundred two million, eight thousand, seven hundred twenty".