104056491000 has 768 divisors, whose sum is σ = 421307228160. Its totient is φ = 20908800000.

The previous prime is 104056490977. The next prime is 104056491043. The reversal of 104056491000 is 194650401.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78770340 + ... + 78771660.

It is an arithmetic number, because the mean of its divisors is an integer number (548577120).

Almost surely, 2^104056491000 is an apocalyptic number.

104056491000 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 104056491000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210653614080).

104056491000 is an abundant number, since it is smaller than the sum of its proper divisors (317250737160).

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

104056491000 is a wasteful number, since it uses less digits than its factorization.

104056491000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 104056491000 in words is "one hundred four billion, fifty-six million, four hundred ninety-one thousand".