105200000000 has 198 divisors, whose sum is σ = 263870958648. Its totient is φ = 41920000000.

The previous prime is 105199999979. The next prime is 105200000027. The reversal of 105200000000 is 2501.

It is a super-2 number, since 2×105200000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 399999869 + ... + 400000131.

Almost surely, 2^105200000000 is an apocalyptic number.

105200000000 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 105200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131935479324).

105200000000 is an abundant number, since it is smaller than the sum of its proper divisors (158670958648).

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

105200000000 is an frugal number, since it uses more digits than its factorization.

105200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

Adding to 105200000000 its reverse (2501), we get a palindrome (105200002501).

The spelling of 105200000000 in words is "one hundred five billion, two hundred million", and thus it is an aban number.