104547130077600 has 1728 divisors, whose sum is σ = 460608879144960. Its totient is φ = 22605167923200.

The previous prime is 104547130077547. The next prime is 104547130077623. The reversal of 104547130077600 is 6770031745401.

104547130077600 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 4 + 7 + 1 + 30 + 0 + 7 + 7 + 600 = 666.

It is a super-2 number, since 2×104547130077600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 19986066985 + ... + 19986072215.

It is an arithmetic number, because the mean of its divisors is an integer number (266556064320).

Almost surely, 2^{104547130077600} is an apocalyptic number.

104547130077600 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 104547130077600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230304439572480).

104547130077600 is an abundant number, since it is smaller than the sum of its proper divisors (356061749067360).

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

104547130077600 is a wasteful number, since it uses less digits than its factorization.

104547130077600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6065 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 104547130077600 in words is "one hundred four trillion, five hundred forty-seven billion, one hundred thirty million, seventy-seven thousand, six hundred".