105311340 has 168 divisors, whose sum is σ = 343744128. Its totient is φ = 27060480.

The previous prime is 105311303. The next prime is 105311351. The reversal of 105311340 is 43113501.

105311340 is a `hidden beast` number, since 1 + 0 + 531 + 134 + 0 = 666.

It is a super-3 number, since 3×105311340³ (a number of 25 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 451864 + ... + 452096.

It is an arithmetic number, because the mean of its divisors is an integer number (2046096).

Almost surely, 2^105311340 is an apocalyptic number.

105311340 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 105311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171872064).

105311340 is an abundant number, since it is smaller than the sum of its proper divisors (238432788).

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

105311340 is a wasteful number, since it uses less digits than its factorization.

105311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105311340 is about 10262.1313575690. The cubic root of 105311340 is about 472.2352258062.

Adding to 105311340 its reverse (43113501), we get a palindrome (148424841).

The spelling of 105311340 in words is "one hundred five million, three hundred eleven thousand, three hundred forty".