105813017760 has 192 divisors, whose sum is σ = 336374083584. Its totient is φ = 27958195200.

The previous prime is 105813017753. The next prime is 105813017899. The reversal of 105813017760 is 67710318501.

It is a super-2 number, since 2×105813017760² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77404597 + ... + 77405963.

It is an arithmetic number, because the mean of its divisors is an integer number (1751948352).

Almost surely, 2^105813017760 is an apocalyptic number.

105813017760 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 105813017760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168187041792).

105813017760 is an abundant number, since it is smaller than the sum of its proper divisors (230561065824).

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

105813017760 is a wasteful number, since it uses less digits than its factorization.

105813017760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 105813017760 in words is "one hundred five billion, eight hundred thirteen million, seventeen thousand, seven hundred sixty".