105566340 has 96 divisors (see below), whose sum is σ = 328043520. Its totient is φ = 25148800.

The previous prime is 105566303. The next prime is 105566341. The reversal of 105566340 is 43665501.

105566340 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105566340² = 22288504281991200, which contains 22 as substring.

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

105566340 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 105566298 and 105566307.

It is not an unprimeable number, because it can be changed into a prime (105566341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37585 + ... + 40295.

It is an arithmetic number, because the mean of its divisors is an integer number (3417120).

Almost surely, 2^105566340 is an apocalyptic number.

105566340 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 105566340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164021760).

105566340 is an abundant number, since it is smaller than the sum of its proper divisors (222477180).

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

105566340 is a wasteful number, since it uses less digits than its factorization.

105566340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 105566340 is about 10274.5481652479. The cubic root of 105566340 is about 472.6160740557.

The spelling of 105566340 in words is "one hundred five million, five hundred sixty-six thousand, three hundred forty".