103200816 has 40 divisors (see below), whose sum is σ = 278196480. Its totient is φ = 32904256.

The previous prime is 103200809. The next prime is 103200833. The reversal of 103200816 is 618002301.

It is a junction number, because it is equal to n+sod(n) for n = 103200792 and 103200801.

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 7 ways as a sum of consecutive naturals, for example, 45636 + ... + 47843.

It is an arithmetic number, because the mean of its divisors is an integer number (6954912).

Almost surely, 2^103200816 is an apocalyptic number.

103200816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103200816 is an abundant number, since it is smaller than the sum of its proper divisors (174995664).

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

103200816 is a wasteful number, since it uses less digits than its factorization.

103200816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93513 (or 93507 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 103200816 is about 10158.7802417416. The cubic root of 103200816 is about 469.0592560491.

The spelling of 103200816 in words is "one hundred three million, two hundred thousand, eight hundred sixteen".