103410403200 has 576 divisors, whose sum is σ = 418319319600. Its totient is φ = 24113479680.

The previous prime is 103410403169. The next prime is 103410403267. The reversal of 103410403200 is 2304014301.

103410403200 is a `hidden beast` number, since 1 + 0 + 341 + 0 + 4 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×103410403200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7106332 + ... + 7120868.

Almost surely, 2^103410403200 is an apocalyptic number.

103410403200 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 103410403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209159659800).

103410403200 is an abundant number, since it is smaller than the sum of its proper divisors (314908916400).

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

103410403200 is a wasteful number, since it uses less digits than its factorization.

103410403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14599 (or 14579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103410403200 its reverse (2304014301), we get a palindrome (105714417501).

The spelling of 103410403200 in words is "one hundred three billion, four hundred ten million, four hundred three thousand, two hundred".