105789479000 has 64 divisors (see below), whose sum is σ = 247804596000. Its totient is φ = 42271824000.

The previous prime is 105789478999. The next prime is 105789479051. The reversal of 105789479000 is 974987501.

It is a super-2 number, since 2×105789479000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 105789479000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916526 + ... + 1025474.

Almost surely, 2^105789479000 is an apocalyptic number.

105789479000 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 105789479000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123902298000).

105789479000 is an abundant number, since it is smaller than the sum of its proper divisors (142015117000).

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

105789479000 is a wasteful number, since it uses less digits than its factorization.

105789479000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109941 (or 109927 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 50.

The spelling of 105789479000 in words is "one hundred five billion, seven hundred eighty-nine million, four hundred seventy-nine thousand".