102320020 has 36 divisors (see below), whose sum is σ = 236187252. Its totient is φ = 37206400.

The previous prime is 102320011. The next prime is 102320021. The reversal of 102320020 is 20023201.

102320020 = T₆₃₉₅ + T₆₃₉₆ + ... + T₆₃₉₉.

It can be written as a sum of positive squares in 2 ways, for example, as 75134224 + 27185796 = 8668^2 + 5214^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102319979 and 102320006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18721 + ... + 23560.

It is an arithmetic number, because the mean of its divisors is an integer number (6560757).

Almost surely, 2^102320020 is an apocalyptic number.

102320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102320020 is an abundant number, since it is smaller than the sum of its proper divisors (133867232).

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

102320020 is a wasteful number, since it uses less digits than its factorization.

102320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42312 (or 42299 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 102320020 is about 10115.3358817194. The cubic root of 102320020 is about 467.7210027746.

Adding to 102320020 its reverse (20023201), we get a palindrome (122343221).

The spelling of 102320020 in words is "one hundred two million, three hundred twenty thousand, twenty".