103321400 has 144 divisors (see below), whose sum is σ = 301308840. Its totient is φ = 32659200.

The previous prime is 103321367. The next prime is 103321409. The reversal of 103321400 is 4123301.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103321409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126995 + ... + 127805.

Almost surely, 2^103321400 is an apocalyptic number.

103321400 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 103321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150654420).

103321400 is an abundant number, since it is smaller than the sum of its proper divisors (197987440).

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

103321400 is a wasteful number, since it uses less digits than its factorization.

103321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103321400 is about 10164.7134735810. The cubic root of 103321400 is about 469.2418741988.

Adding to 103321400 its reverse (4123301), we get a palindrome (107444701).

The spelling of 103321400 in words is "one hundred three million, three hundred twenty-one thousand, four hundred".