103307644382400 has 672 divisors, whose sum is σ = 378099250099200. Its totient is φ = 27438862233600.

The previous prime is 103307644382389. The next prime is 103307644382441. The reversal of 103307644382400 is 4283446703301.

103307644382400 is a `hidden beast` number, since 1 + 0 + 3 + 307 + 64 + 43 + 8 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11972141286 + ... + 11972149914.

It is an arithmetic number, because the mean of its divisors is an integer number (562647693600).

Almost surely, 2^{103307644382400} is an apocalyptic number.

103307644382400 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 103307644382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189049625049600).

103307644382400 is an abundant number, since it is smaller than the sum of its proper divisors (274791605716800).

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

103307644382400 is a wasteful number, since it uses less digits than its factorization.

103307644382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 103307644382400 in words is "one hundred three trillion, three hundred seven billion, six hundred forty-four million, three hundred eighty-two thousand, four hundred".