102820320 has 96 divisors (see below), whose sum is σ = 359886240. Its totient is φ = 27417600.

The previous prime is 102820309. The next prime is 102820321. The reversal of 102820320 is 23028201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 102820293 and 102820302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102820321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7581 + ... + 16220.

It is an arithmetic number, because the mean of its divisors is an integer number (3748815).

Almost surely, 2^102820320 is an apocalyptic number.

102820320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102820320 is an abundant number, since it is smaller than the sum of its proper divisors (257065920).

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

102820320 is a wasteful number, since it uses less digits than its factorization.

102820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23825 (or 23811 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102820320 is about 10140.0355028964. The cubic root of 102820320 is about 468.4820804967.

Adding to 102820320 its reverse (23028201), we get a palindrome (125848521).

The spelling of 102820320 in words is "one hundred two million, eight hundred twenty thousand, three hundred twenty".