105413711760 has 360 divisors, whose sum is σ = 416785824000. Its totient is φ = 23803605504.

The previous prime is 105413711759. The next prime is 105413711771. The reversal of 105413711760 is 67117314501.

It is a happy number.

105413711760 is a `hidden beast` number, since 1 + 0 + 5 + 413 + 71 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×105413711760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2910241 + ... + 2946239.

It is an arithmetic number, because the mean of its divisors is an integer number (1157738400).

Almost surely, 2^105413711760 is an apocalyptic number.

105413711760 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 105413711760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208392912000).

105413711760 is an abundant number, since it is smaller than the sum of its proper divisors (311372112240).

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

105413711760 is a wasteful number, since it uses less digits than its factorization.

105413711760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36115 (or 36099 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 105413711760 in words is "one hundred five billion, four hundred thirteen million, seven hundred eleven thousand, seven hundred sixty".