105860337340032 has 1024 divisors, whose sum is σ = 347315902617600. Its totient is φ = 31739558400000.

The previous prime is 105860337340027. The next prime is 105860337340067. The reversal of 105860337340032 is 230043733068501.

105860337340032 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 603 + 3 + 7 + 3 + 4 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×105860337340032² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105860337340032.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 319819750107 + ... + 319819750437.

It is an arithmetic number, because the mean of its divisors is an integer number (339175686150).

Almost surely, 2^{105860337340032} is an apocalyptic number.

105860337340032 is a gapful number since it is divisible by the number (12) 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 105860337340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173657951308800).

105860337340032 is an abundant number, since it is smaller than the sum of its proper divisors (241455565277568).

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

105860337340032 is a wasteful number, since it uses less digits than its factorization.

105860337340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 105860337340032 in words is "one hundred five trillion, eight hundred sixty billion, three hundred thirty-seven million, three hundred forty thousand, thirty-two".