102345680 has 20 divisors (see below), whose sum is σ = 237953892. Its totient is φ = 40938240.

The previous prime is 102345673. The next prime is 102345689. The reversal of 102345680 is 86543201.

It can be written as a sum of positive squares in 2 ways, for example, as 24482704 + 77862976 = 4948^2 + 8824^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102345689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 639581 + ... + 639740.

Almost surely, 2^102345680 is an apocalyptic number.

102345680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102345680 is an abundant number, since it is smaller than the sum of its proper divisors (135608212).

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

102345680 is a wasteful number, since it uses less digits than its factorization.

102345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279334 (or 1279328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 102345680 is about 10116.6041733380. The cubic root of 102345680 is about 467.7600981468.

Adding to 102345680 its reverse (86543201), we get a palindrome (188888881).

The spelling of 102345680 in words is "one hundred two million, three hundred forty-five thousand, six hundred eighty".