105739164411012 has 288 divisors, whose sum is σ = 314595350544384. Its totient is φ = 30764378534400.

The previous prime is 105739164411007. The next prime is 105739164411017. The reversal of 105739164411012 is 210114461937501.

105739164411012 is a `hidden beast` number, since 1 + 0 + 5 + 73 + 9 + 164 + 411 + 0 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (105739164411007) and next prime (105739164411017).

It is a super-2 number, since 2×105739164411012² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105739164411017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40838428 + ... + 43350380.

It is an arithmetic number, because the mean of its divisors is an integer number (1092344967168).

Almost surely, 2^{105739164411012} is an apocalyptic number.

105739164411012 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 105739164411012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157297675272192).

105739164411012 is an abundant number, since it is smaller than the sum of its proper divisors (208856186133372).

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

105739164411012 is a wasteful number, since it uses less digits than its factorization.

105739164411012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512141 (or 2512127 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 105739164411012 in words is "one hundred five trillion, seven hundred thirty-nine billion, one hundred sixty-four million, four hundred eleven thousand, twelve".