103405052400 has 240 divisors, whose sum is σ = 360258296160. Its totient is φ = 25201152000.

The previous prime is 103405052393. The next prime is 103405052417. The reversal of 103405052400 is 4250504301.

103405052400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1542786 + ... + 1608414.

It is an arithmetic number, because the mean of its divisors is an integer number (1501076234).

Almost surely, 2^103405052400 is an apocalyptic number.

103405052400 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 103405052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180129148080).

103405052400 is an abundant number, since it is smaller than the sum of its proper divisors (256853243760).

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

103405052400 is a wasteful number, since it uses less digits than its factorization.

103405052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65764 (or 65753 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 103405052400 its reverse (4250504301), we get a palindrome (107655556701).

The spelling of 103405052400 in words is "one hundred three billion, four hundred five million, fifty-two thousand, four hundred".