103014400 has 84 divisors (see below), whose sum is σ = 255967992. Its totient is φ = 41123840.

The previous prime is 103014377. The next prime is 103014403. The reversal of 103014400 is 4410301.

It is a super-2 number, since 2×103014400² = 21223933214720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103014403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204549 + ... + 205051.

It is an arithmetic number, because the mean of its divisors is an integer number (3047238).

Almost surely, 2^103014400 is an apocalyptic number.

103014400 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 103014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127983996).

103014400 is an abundant number, since it is smaller than the sum of its proper divisors (152953592).

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

103014400 is an frugal number, since it uses more digits than its factorization.

103014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 103014400 is about 10149.6009773784. The cubic root of 103014400 is about 468.7766586320.

Adding to 103014400 its reverse (4410301), we get a palindrome (107424701).

The spelling of 103014400 in words is "one hundred three million, fourteen thousand, four hundred".