102006800 has 120 divisors (see below), whose sum is σ = 296695296. Its totient is φ = 32901120.

The previous prime is 102006799. The next prime is 102006857. The reversal of 102006800 is 8600201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46529 + ... + 48671.

Almost surely, 2^102006800 is an apocalyptic number.

102006800 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 102006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148347648).

102006800 is an abundant number, since it is smaller than the sum of its proper divisors (194688496).

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

102006800 is a wasteful number, since it uses less digits than its factorization.

102006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 102006800 is about 10099.8415829160. The cubic root of 102006800 is about 467.2432555575.

The spelling of 102006800 in words is "one hundred two million, six thousand, eight hundred".