105671564000 has 96 divisors (see below), whose sum is σ = 259783052256. Its totient is φ = 42244531200.

The previous prime is 105671563969. The next prime is 105671564023. The reversal of 105671564000 is 465176501.

It is a super-2 number, since 2×105671564000² (a number of 23 digits) contains 22 as substring.

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, 8101484 + ... + 8114516.

It is an arithmetic number, because the mean of its divisors is an integer number (2706073461).

Almost surely, 2^105671564000 is an apocalyptic number.

105671564000 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 105671564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129891526128).

105671564000 is an abundant number, since it is smaller than the sum of its proper divisors (154111488256).

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

105671564000 is a wasteful number, since it uses less digits than its factorization.

105671564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15085 (or 15067 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 105671564000 in words is "one hundred five billion, six hundred seventy-one million, five hundred sixty-four thousand".