102663200 has 72 divisors (see below), whose sum is σ = 252366660. Its totient is φ = 40780800.

The previous prime is 102663157. The next prime is 102663233. The reversal of 102663200 is 2366201.

It can be written as a sum of positive squares in 6 ways, for example, as 976144 + 101687056 = 988^2 + 10084^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144446 + ... + 145154.

Almost surely, 2^102663200 is an apocalyptic number.

102663200 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 102663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126183330).

102663200 is an abundant number, since it is smaller than the sum of its proper divisors (149703460).

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

102663200 is a wasteful number, since it uses less digits than its factorization.

102663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 102663200 is about 10132.2850334957. The cubic root of 102663200 is about 468.2433292789.

The spelling of 102663200 in words is "one hundred two million, six hundred sixty-three thousand, two hundred".