104947107840 has 384 divisors, whose sum is σ = 383174064000. Its totient is φ = 27226865664.

The previous prime is 104947107833. The next prime is 104947107953. The reversal of 104947107840 is 48701749401.

It is a happy number.

104947107840 is a `hidden beast` number, since 10 + 494 + 7 + 107 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×104947107840² (a number of 23 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10224631 + ... + 10234889.

It is an arithmetic number, because the mean of its divisors is an integer number (997849125).

Almost surely, 2^104947107840 is an apocalyptic number.

104947107840 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 104947107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191587032000).

104947107840 is an abundant number, since it is smaller than the sum of its proper divisors (278226956160).

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

104947107840 is a wasteful number, since it uses less digits than its factorization.

104947107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332 (or 10306 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 104947107840 in words is "one hundred four billion, nine hundred forty-seven million, one hundred seven thousand, eight hundred forty".