103027200 has 120 divisors (see below), whose sum is σ = 340470768. Its totient is φ = 27463680.

The previous prime is 103027159. The next prime is 103027213. The reversal of 103027200 is 2720301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×103027200² = 21229207879680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103027200.

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, 37059 + ... + 39741.

Almost surely, 2^103027200 is an apocalyptic number.

103027200 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 103027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170235384).

103027200 is an abundant number, since it is smaller than the sum of its proper divisors (237443568).

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

103027200 is an equidigital number, since it uses as much as digits as its factorization.

103027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 103027200 is about 10150.2315244530. The cubic root of 103027200 is about 468.7960736935.

Adding to 103027200 its reverse (2720301), we get a palindrome (105747501).

The spelling of 103027200 in words is "one hundred three million, twenty-seven thousand, two hundred".