104946010560 has 280 divisors, whose sum is σ = 392961235920. Its totient is φ = 26512551936.

The previous prime is 104946010537. The next prime is 104946010567. The reversal of 104946010560 is 65010649401.

104946010560 is a `hidden beast` number, since 1 + 0 + 4 + 94 + 6 + 0 + 1 + 0 + 560 = 666.

It is a super-2 number, since 2×104946010560² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104946010567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 385932 + ... + 599028.

Almost surely, 2^104946010560 is an apocalyptic number.

104946010560 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 104946010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196480617960).

104946010560 is an abundant number, since it is smaller than the sum of its proper divisors (288015225360).

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

104946010560 is a wasteful number, since it uses less digits than its factorization.

104946010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213145 (or 213126 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 104946010560 its reverse (65010649401), we get a palindrome (169956659961).

The spelling of 104946010560 in words is "one hundred four billion, nine hundred forty-six million, ten thousand, five hundred sixty".