103873300 has 36 divisors (see below), whose sum is σ = 227207680. Its totient is φ = 41217120.

The previous prime is 103873291. The next prime is 103873307. The reversal of 103873300 is 3378301.

It is a super-3 number, since 3×103873300³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103873307) 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 11 ways as a sum of consecutive naturals, for example, 8611 + ... + 16789.

Almost surely, 2^103873300 is an apocalyptic number.

103873300 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 103873300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113603840).

103873300 is an abundant number, since it is smaller than the sum of its proper divisors (123334380).

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

103873300 is a wasteful number, since it uses less digits than its factorization.

103873300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 8313 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 103873300 is about 10191.8251554861. The cubic root of 103873300 is about 470.0758893603.

The spelling of 103873300 in words is "one hundred three million, eight hundred seventy-three thousand, three hundred".