102065600 has 168 divisors, whose sum is σ = 309542688. Its totient is φ = 32256000.

The previous prime is 102065599. The next prime is 102065611. The reversal of 102065600 is 6560201.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 145250 + ... + 145950.

It is an arithmetic number, because the mean of its divisors is an integer number (1842516).

Almost surely, 2^102065600 is an apocalyptic number.

102065600 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 102065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154771344).

102065600 is an abundant number, since it is smaller than the sum of its proper divisors (207477088).

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

102065600 is a wasteful number, since it uses less digits than its factorization.

102065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 102065600 is about 10102.7521002943. The cubic root of 102065600 is about 467.3330163257. Note that the first 3 decimals are identical.

It can be divided in two parts, 10206 and 5600, that multiplied together give a square (57153600 = 7560²).

The spelling of 102065600 in words is "one hundred two million, sixty-five thousand, six hundred".