103213200 has 60 divisors (see below), whose sum is σ = 330630128. Its totient is φ = 27523200.

The previous prime is 103213189. The next prime is 103213219. The reversal of 103213200 is 2312301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41806 + ... + 44205.

Almost surely, 2^103213200 is an apocalyptic number.

103213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103213200 is an abundant number, since it is smaller than the sum of its proper divisors (227416928).

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

103213200 is a wasteful number, since it uses less digits than its factorization.

103213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86032 (or 86021 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103213200 is about 10159.3897454522. The cubic root of 103213200 is about 469.0780175205.

Adding to 103213200 its reverse (2312301), we get a palindrome (105525501).

The spelling of 103213200 in words is "one hundred three million, two hundred thirteen thousand, two hundred".