103401342400 has 168 divisors, whose sum is σ = 256602951360. Its totient is φ = 41009418240.

The previous prime is 103401342389. The next prime is 103401342439. The reversal of 103401342400 is 4243104301.

It is a super-2 number, since 2×103401342400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121220374 + ... + 121221226.

It is an arithmetic number, because the mean of its divisors is an integer number (1527398520).

Almost surely, 2^103401342400 is an apocalyptic number.

103401342400 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 103401342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128301475680).

103401342400 is an abundant number, since it is smaller than the sum of its proper divisors (153201608960).

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

103401342400 is a wasteful number, since it uses less digits than its factorization.

103401342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 103401342400 its reverse (4243104301), we get a palindrome (107644446701).

The spelling of 103401342400 in words is "one hundred three billion, four hundred one million, three hundred forty-two thousand, four hundred".