103896810864000 has 4096 divisors, whose sum is σ = 489647628288000. Its totient is φ = 21029400576000.

The previous prime is 103896810863987. The next prime is 103896810864023. The reversal of 103896810864000 is 468018698301.

103896810864000 is a `hidden beast` number, since 1 + 0 + 3 + 89 + 6 + 81 + 0 + 86 + 400 + 0 = 666.

It is a super-3 number, since 3×103896810864000³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 327750191842 + ... + 327750192158.

It is an arithmetic number, because the mean of its divisors is an integer number (119542878000).

Almost surely, 2^{103896810864000} is an apocalyptic number.

103896810864000 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 103896810864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244823814144000).

103896810864000 is an abundant number, since it is smaller than the sum of its proper divisors (385750817424000).

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

103896810864000 is a wasteful number, since it uses less digits than its factorization.

103896810864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 103896810864000 in words is "one hundred three trillion, eight hundred ninety-six billion, eight hundred ten million, eight hundred sixty-four thousand".