105461144316 has 120 divisors (see below), whose sum is σ = 302441610240. Its totient is φ = 31779194400.

The previous prime is 105461144309. The next prime is 105461144323. The reversal of 105461144316 is 613441164501.

105461144316 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 611 + 4 + 4 + 31 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (105461144309) and next prime (105461144323).

It is a super-3 number, since 3×105461144316³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 555301 + ... + 720611.

It is an arithmetic number, because the mean of its divisors is an integer number (2520346752).

Almost surely, 2^105461144316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105461144316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151220805120).

105461144316 is an abundant number, since it is smaller than the sum of its proper divisors (196980465924).

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

105461144316 is a wasteful number, since it uses less digits than its factorization.

105461144316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165517 (or 165506 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 105461144316 in words is "one hundred five billion, four hundred sixty-one million, one hundred forty-four thousand, three hundred sixteen".