105654340 has 48 divisors (see below), whose sum is σ = 244589184. Its totient is φ = 38016000.

The previous prime is 105654331. The next prime is 105654343. The reversal of 105654340 is 43456501.

It is a super-2 number, since 2×105654340² = 22325679121671200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105654299 and 105654308.

It is not an unprimeable number, because it can be changed into a prime (105654343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18865 + ... + 23815.

It is an arithmetic number, because the mean of its divisors is an integer number (5095608).

Almost surely, 2^105654340 is an apocalyptic number.

105654340 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 105654340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122294592).

105654340 is an abundant number, since it is smaller than the sum of its proper divisors (138934844).

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

105654340 is a wasteful number, since it uses less digits than its factorization.

105654340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 105654340 is about 10278.8296999221. The cubic root of 105654340 is about 472.7473616844.

The spelling of 105654340 in words is "one hundred five million, six hundred fifty-four thousand, three hundred forty".