105683340 has 96 divisors (see below), whose sum is σ = 349138944. Its totient is φ = 23374080.

The previous prime is 105683329. The next prime is 105683353. The reversal of 105683340 is 43386501.

It is a super-2 number, since 2×105683340² = 22337936707111200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105683298 and 105683307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8962 + ... + 17078.

It is an arithmetic number, because the mean of its divisors is an integer number (3636864).

Almost surely, 2^105683340 is an apocalyptic number.

105683340 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 105683340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174569472).

105683340 is an abundant number, since it is smaller than the sum of its proper divisors (243455604).

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

105683340 is a wasteful number, since it uses less digits than its factorization.

105683340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8167 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 105683340 is about 10280.2402695657. The cubic root of 105683340 is about 472.7906109547.

The spelling of 105683340 in words is "one hundred five million, six hundred eighty-three thousand, three hundred forty".