105161501340 has 384 divisors, whose sum is σ = 398468044800. Its totient is φ = 22770554112.

The previous prime is 105161501317. The next prime is 105161501369. The reversal of 105161501340 is 43105161501.

105161501340 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 615 + 0 + 1 + 3 + 40 = 666.

It is a super-2 number, since 2×105161501340² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 5808382 + ... + 5826458.

It is an arithmetic number, because the mean of its divisors is an integer number (1037677200).

Almost surely, 2^105161501340 is an apocalyptic number.

105161501340 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 105161501340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199234022400).

105161501340 is an abundant number, since it is smaller than the sum of its proper divisors (293306543460).

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

105161501340 is a wasteful number, since it uses less digits than its factorization.

105161501340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18133 (or 18113 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 105161501340 its reverse (43105161501), we get a palindrome (148266662841).

The spelling of 105161501340 in words is "one hundred five billion, one hundred sixty-one million, five hundred one thousand, three hundred forty".