105671161600 has 108 divisors (see below), whose sum is σ = 261958815160. Its totient is φ = 42202828800.

The previous prime is 105671161597. The next prime is 105671161601. The reversal of 105671161600 is 6161176501.

It is a super-2 number, since 2×105671161600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105671161601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4217911 + ... + 4242889.

Almost surely, 2^105671161600 is an apocalyptic number.

105671161600 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 105671161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130979407580).

105671161600 is an abundant number, since it is smaller than the sum of its proper divisors (156287653560).

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

105671161600 is an equidigital number, since it uses as much as digits as its factorization.

105671161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25666 (or 25647 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 105671161600 in words is "one hundred five billion, six hundred seventy-one million, one hundred sixty-one thousand, six hundred".