105310000000 has 128 divisors (see below), whose sum is σ = 262270812960. Its totient is φ = 42120000000.

The previous prime is 105309999997. The next prime is 105310000021. The reversal of 105310000000 is 13501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105310000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 9994735 + ... + 10005265.

Almost surely, 2^105310000000 is an apocalyptic number.

105310000000 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 105310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131135406480).

105310000000 is an abundant number, since it is smaller than the sum of its proper divisors (156960812960).

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

105310000000 is an frugal number, since it uses more digits than its factorization.

105310000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10580 (or 10538 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

Adding to 105310000000 its reverse (13501), we get a palindrome (105310013501).

The spelling of 105310000000 in words is "one hundred five billion, three hundred ten million", and thus it is an aban number.