102805600 has 72 divisors (see below), whose sum is σ = 253530648. Its totient is φ = 40704000.

The previous prime is 102805583. The next prime is 102805601. The reversal of 102805600 is 6508201.

It is a happy number.

102805600 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102805601) 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, 85000 + ... + 86200.

It is an arithmetic number, because the mean of its divisors is an integer number (3521259).

Almost surely, 2^102805600 is an apocalyptic number.

102805600 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 102805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126765324).

102805600 is an abundant number, since it is smaller than the sum of its proper divisors (150725048).

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

102805600 is a wasteful number, since it uses less digits than its factorization.

102805600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 102805600 is about 10139.3096411935. The cubic root of 102805600 is about 468.4597230958.

The spelling of 102805600 in words is "one hundred two million, eight hundred five thousand, six hundred".