103200100 has 72 divisors (see below), whose sum is σ = 231492128. Its totient is φ = 39916800.

The previous prime is 103200091. The next prime is 103200101. The reversal of 103200100 is 1002301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488995 + ... + 489205.

Almost surely, 2^103200100 is an apocalyptic number.

103200100 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 103200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115746064).

103200100 is an abundant number, since it is smaller than the sum of its proper divisors (128292028).

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

103200100 is a wasteful number, since it uses less digits than its factorization.

103200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 103200100 is about 10158.7450012292. The cubic root of 103200100 is about 469.0581712798.

Adding to 103200100 its reverse (1002301), we get a palindrome (104202401).

The spelling of 103200100 in words is "one hundred three million, two hundred thousand, one hundred".