102820120 has 64 divisors (see below), whose sum is σ = 260003520. Its totient is φ = 36309504.

The previous prime is 102820117. The next prime is 102820163. The reversal of 102820120 is 21028201.

It is a junction number, because it is equal to n+sod(n) for n = 102820094 and 102820103.

It is a congruent number.

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, 7662 + ... + 16258.

It is an arithmetic number, because the mean of its divisors is an integer number (4062555).

Almost surely, 2^102820120 is an apocalyptic number.

102820120 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 102820120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130001760).

102820120 is an abundant number, since it is smaller than the sum of its proper divisors (157183400).

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

102820120 is a wasteful number, since it uses less digits than its factorization.

102820120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8644 (or 8640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 102820120 is about 10140.0256409932. The cubic root of 102820120 is about 468.4817767419.

Adding to 102820120 its reverse (21028201), we get a palindrome (123848321).

The spelling of 102820120 in words is "one hundred two million, eight hundred twenty thousand, one hundred twenty".