102603200 has 84 divisors (see below), whose sum is σ = 288566352. Its totient is φ = 35174400.

The previous prime is 102603199. The next prime is 102603223. The reversal of 102603200 is 2306201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 6620 + ... + 15780.

Almost surely, 2^102603200 is an apocalyptic number.

102603200 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 102603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144283176).

102603200 is an abundant number, since it is smaller than the sum of its proper divisors (185963152).

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

102603200 is an equidigital number, since it uses as much as digits as its factorization.

102603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 102603200 is about 10129.3237681496. The cubic root of 102603200 is about 468.1520921894.

Adding to 102603200 its reverse (2306201), we get a palindrome (104909401).

The spelling of 102603200 in words is "one hundred two million, six hundred three thousand, two hundred".