104151816000 has 336 divisors, whose sum is σ = 384594981888. Its totient is φ = 26877312000.

The previous prime is 104151815993. The next prime is 104151816017. The reversal of 104151816000 is 618151401.

104151816000 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 51 + 8 + 1 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2208669 + ... + 2255331.

Almost surely, 2^104151816000 is an apocalyptic number.

104151816000 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 104151816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192297490944).

104151816000 is an abundant number, since it is smaller than the sum of its proper divisors (280443165888).

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

104151816000 is a wasteful number, since it uses less digits than its factorization.

104151816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46727 (or 46704 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 104151816000 its reverse (618151401), we get a palindrome (104769967401).

The spelling of 104151816000 in words is "one hundred four billion, one hundred fifty-one million, eight hundred sixteen thousand".