105583240 has 96 divisors (see below), whose sum is σ = 279564480. Its totient is φ = 35779968.

The previous prime is 105583217. The next prime is 105583267. The reversal of 105583240 is 42385501.

It is a super-2 number, since 2×105583240² = 22295641137795200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 105583199 and 105583208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201619 + ... + 202141.

It is an arithmetic number, because the mean of its divisors is an integer number (2912130).

Almost surely, 2^105583240 is an apocalyptic number.

105583240 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 105583240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139782240).

105583240 is an abundant number, since it is smaller than the sum of its proper divisors (173981240).

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

105583240 is a wasteful number, since it uses less digits than its factorization.

105583240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 105583240 is about 10275.3705529290. The cubic root of 105583240 is about 472.6412929069.

The spelling of 105583240 in words is "one hundred five million, five hundred eighty-three thousand, two hundred forty".