105311740 has 24 divisors (see below), whose sum is σ = 223957440. Its totient is φ = 41590848.

The previous prime is 105311729. The next prime is 105311783. The reversal of 105311740 is 47113501.

It is a super-2 number, since 2×105311740² = 22181125163655200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31747 + ... + 34906.

It is an arithmetic number, because the mean of its divisors is an integer number (9331560).

Almost surely, 2^105311740 is an apocalyptic number.

105311740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105311740 is an abundant number, since it is smaller than the sum of its proper divisors (118645700).

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

105311740 is a wasteful number, since it uses less digits than its factorization.

105311740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66741 (or 66739 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 105311740 is about 10262.1508466793. The cubic root of 105311740 is about 472.2358236964.

The spelling of 105311740 in words is "one hundred five million, three hundred eleven thousand, seven hundred forty".