103414300 has 72 divisors (see below), whose sum is σ = 250890192. Its totient is φ = 36672000.

The previous prime is 103414271. The next prime is 103414303. The reversal of 103414300 is 3414301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103414303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43954 + ... + 46246.

It is an arithmetic number, because the mean of its divisors is an integer number (3484586).

Almost surely, 2^103414300 is an apocalyptic number.

103414300 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 103414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125445096).

103414300 is an abundant number, since it is smaller than the sum of its proper divisors (147475892).

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

103414300 is a wasteful number, since it uses less digits than its factorization.

103414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103414300 is about 10169.2821772237. The cubic root of 103414300 is about 469.3824695044.

Adding to 103414300 its reverse (3414301), we get a palindrome (106828601).

Subtracting from 103414300 its reverse (3414301), we obtain a palindrome (99999999).

It can be divided in two parts, 10341 and 4300, that added together give a palindrome (14641).

The spelling of 103414300 in words is "one hundred three million, four hundred fourteen thousand, three hundred".