105000000000 has 440 divisors, whose sum is σ = 399609366816. Its totient is φ = 24000000000.

The previous prime is 104999999989. The next prime is 105000000011. The reversal of 105000000000 is 501.

It is an interprime number because it is at equal distance from previous prime (104999999989) and next prime (105000000011).

It is a super-2 number, since 2×105000000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 14999999997 + ... + 15000000003.

Almost surely, 2^105000000000 is an apocalyptic number.

105000000000 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 105000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199804683408).

105000000000 is an abundant number, since it is smaller than the sum of its proper divisors (294609366816).

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

105000000000 is an frugal number, since it uses more digits than its factorization.

105000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

Adding to 105000000000 its reverse (501), we get a palindrome (105000000501).

The spelling of 105000000000 in words is "one hundred five billion", and thus it is an aban number.