105893858920 has 16 divisors (see below), whose sum is σ = 238261182660. Its totient is φ = 42357543552.

The previous prime is 105893858893. The next prime is 105893858921. The reversal of 105893858920 is 29858398501.

It can be written as a sum of positive squares in 2 ways, for example, as 105361264836 + 532594084 = 324594^2 + 23078^2 .

It is a super-3 number, since 3×105893858920³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105893858921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1323673197 + ... + 1323673276.

Almost surely, 2^105893858920 is an apocalyptic number.

105893858920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105893858920 is an abundant number, since it is smaller than the sum of its proper divisors (132367323740).

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

105893858920 is a wasteful number, since it uses less digits than its factorization.

105893858920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647346484 (or 2647346480 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 58.

The spelling of 105893858920 in words is "one hundred five billion, eight hundred ninety-three million, eight hundred fifty-eight thousand, nine hundred twenty".