103712400 has 360 divisors, whose sum is σ = 411369504. Its totient is φ = 24883200.

The previous prime is 103712363. The next prime is 103712407. The reversal of 103712400 is 4217301.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (103712407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1069152 + ... + 1069248.

Almost surely, 2^103712400 is an apocalyptic number.

103712400 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 103712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205684752).

103712400 is an abundant number, since it is smaller than the sum of its proper divisors (307657104).

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

103712400 is a wasteful number, since it uses less digits than its factorization.

103712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 103712400 is about 10183.9285150673. The cubic root of 103712400 is about 469.8330476892.

Adding to 103712400 its reverse (4217301), we get a palindrome (107929701).

The spelling of 103712400 in words is "one hundred three million, seven hundred twelve thousand, four hundred".