83103300 has 144 divisors (see below), whose sum is σ = 305397120. Its totient is φ = 18990720.

The previous prime is 83103277. The next prime is 83103323. The reversal of 83103300 is 330138.

It is an interprime number because it is at equal distance from previous prime (83103277) and next prime (83103323).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 16702 + ... + 21098.

Almost surely, 2^83103300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152698560).

83103300 is an abundant number, since it is smaller than the sum of its proper divisors (222293820).

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

83103300 is a wasteful number, since it uses less digits than its factorization.

83103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 83103300 is about 9116.1011402902. The cubic root of 83103300 is about 436.3879567411.

Adding to 83103300 its reverse (330138), we get a palindrome (83433438).

The spelling of 83103300 in words is "eighty-three million, one hundred three thousand, three hundred".