103325975827200 has 4320 divisors, whose sum is σ = 464927585396736. Its totient is φ = 22152656977920.

The previous prime is 103325975827169. The next prime is 103325975827211. The reversal of 103325975827200 is 2728579523301.

103325975827200 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 59 + 7 + 582 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 535367750304 + ... + 535367750496.

Almost surely, 2^{103325975827200} is an apocalyptic number.

103325975827200 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 103325975827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232463792698368).

103325975827200 is an abundant number, since it is smaller than the sum of its proper divisors (361601609569536).

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

103325975827200 is a wasteful number, since it uses less digits than its factorization.

103325975827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 103325975827200 in words is "one hundred three trillion, three hundred twenty-five billion, nine hundred seventy-five million, eight hundred twenty-seven thousand, two hundred".