105941928960 has 528 divisors, whose sum is σ = 427511462976. Its totient is φ = 23754571776.

The previous prime is 105941928947. The next prime is 105941928971. The reversal of 105941928960 is 69829149501.

105941928960 is a `hidden beast` number, since 10 + 594 + 19 + 28 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×105941928960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105941928897 and 105941928906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17092582 + ... + 17098778.

Almost surely, 2^105941928960 is an apocalyptic number.

105941928960 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 105941928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213755731488).

105941928960 is an abundant number, since it is smaller than the sum of its proper divisors (321569534016).

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

105941928960 is a wasteful number, since it uses less digits than its factorization.

105941928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6288 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 105941928960 in words is "one hundred five billion, nine hundred forty-one million, nine hundred twenty-eight thousand, nine hundred sixty".