103194004536000 has 1120 divisors, whose sum is σ = 450374686654464. Its totient is φ = 22826292480000.

The previous prime is 103194004535987. The next prime is 103194004536037. The reversal of 103194004536000 is 635400491301.

103194004536000 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 9 + 4 + 0 + 0 + 45 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 140249065 + ... + 140982935.

Almost surely, 2^{103194004536000} is an apocalyptic number.

103194004536000 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 103194004536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225187343327232).

103194004536000 is an abundant number, since it is smaller than the sum of its proper divisors (347180682118464).

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

103194004536000 is an equidigital number, since it uses as much as digits as its factorization.

103194004536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733948 (or 733919 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 103194004536000 in words is "one hundred three trillion, one hundred ninety-four billion, four million, five hundred thirty-six thousand".