105893648640 has 864 divisors, whose sum is σ = 418482215424. Its totient is φ = 24524881920.

The previous prime is 105893648629. The next prime is 105893648677. The reversal of 105893648640 is 46846398501.

105893648640 is a `hidden beast` number, since 10 + 5 + 89 + 36 + 486 + 40 = 666.

It is a super-2 number, since 2×105893648640² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244557864 + ... + 244558296.

It is an arithmetic number, because the mean of its divisors is an integer number (484354416).

Almost surely, 2^105893648640 is an apocalyptic number.

105893648640 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 105893648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209241107712).

105893648640 is an abundant number, since it is smaller than the sum of its proper divisors (312588566784).

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

105893648640 is a wasteful number, since it uses less digits than its factorization.

105893648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 105893648640 in words is "one hundred five billion, eight hundred ninety-three million, six hundred forty-eight thousand, six hundred forty".