104510246400 has 1440 divisors, whose sum is σ = 457123867200. Its totient is φ = 22295347200.

The previous prime is 104510246389. The next prime is 104510246443. The reversal of 104510246400 is 4642015401.

104510246400 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 10 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 958809546 + ... + 958809654.

It is an arithmetic number, because the mean of its divisors is an integer number (317447130).

Almost surely, 2^104510246400 is an apocalyptic number.

104510246400 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 104510246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228561933600).

104510246400 is an abundant number, since it is smaller than the sum of its proper divisors (352613620800).

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

104510246400 is a wasteful number, since it uses less digits than its factorization.

104510246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 104510246400 in words is "one hundred four billion, five hundred ten million, two hundred forty-six thousand, four hundred".