105354640 has 40 divisors (see below), whose sum is σ = 247718520. Its totient is φ = 41665536.

The previous prime is 105354611. The next prime is 105354643. The reversal of 105354640 is 46453501.

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 104530176 = 908^2 + 10224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105354640² = 22199200339059200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105354599 and 105354608.

It is not an unprimeable number, because it can be changed into a prime (105354643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279 + ... + 14518.

It is an arithmetic number, because the mean of its divisors is an integer number (6192963).

Almost surely, 2^105354640 is an apocalyptic number.

105354640 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 105354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123859260).

105354640 is an abundant number, since it is smaller than the sum of its proper divisors (142363880).

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

105354640 is a wasteful number, since it uses less digits than its factorization.

105354640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14899 (or 14893 counting only the distinct ones).

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

The square root of 105354640 is about 10264.2408389515. The cubic root of 105354640 is about 472.2999386329.

The spelling of 105354640 in words is "one hundred five million, three hundred fifty-four thousand, six hundred forty".