103958400 has 576 divisors, whose sum is σ = 454189680. Its totient is φ = 20643840.

The previous prime is 103958389. The next prime is 103958401. The reversal of 103958400 is 4859301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103958401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6115192 + ... + 6115208.

Almost surely, 2^103958400 is an apocalyptic number.

103958400 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 103958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227094840).

103958400 is an abundant number, since it is smaller than the sum of its proper divisors (350231280).

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

103958400 is a wasteful number, since it uses less digits than its factorization.

103958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 103958400 is about 10195.9992153785. Note that the first 3 decimals coincide. The cubic root of 103958400 is about 470.2042269237.

Subtracting from 103958400 its reverse (4859301), we obtain a palindrome (99099099).

The spelling of 103958400 in words is "one hundred three million, nine hundred fifty-eight thousand, four hundred".