103405100120400 has 1920 divisors, whose sum is σ = 386669251584000. Its totient is φ = 23435589058560.

The previous prime is 103405100120381. The next prime is 103405100120453. The reversal of 103405100120400 is 4021001504301.

It is a super-2 number, since 2×103405100120400² (a number of 29 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 383 ways as a sum of consecutive naturals, for example, 174376222504 + ... + 174376223096.

It is an arithmetic number, because the mean of its divisors is an integer number (201390235200).

Almost surely, 2^{103405100120400} is an apocalyptic number.

103405100120400 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 103405100120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193334625792000).

103405100120400 is an abundant number, since it is smaller than the sum of its proper divisors (283264151463600).

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

103405100120400 is a wasteful number, since it uses less digits than its factorization.

103405100120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 103405100120400 its reverse (4021001504301), we get a palindrome (107426101624701).

The spelling of 103405100120400 in words is "one hundred three trillion, four hundred five billion, one hundred million, one hundred twenty thousand, four hundred".