105350240 has 48 divisors (see below), whose sum is σ = 251920368. Its totient is φ = 41627136.

The previous prime is 105350227. The next prime is 105350261. The reversal of 105350240 is 42053501.

It is a super-2 number, since 2×105350240² = 22197346136115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9314 + ... + 17246.

It is an arithmetic number, because the mean of its divisors is an integer number (5248341).

Almost surely, 2^105350240 is an apocalyptic number.

105350240 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 105350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125960184).

105350240 is an abundant number, since it is smaller than the sum of its proper divisors (146570128).

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

105350240 is an equidigital number, since it uses as much as digits as its factorization.

105350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8031 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105350240 is about 10264.0265003555. The cubic root of 105350240 is about 472.2933635430.

The spelling of 105350240 in words is "one hundred five million, three hundred fifty thousand, two hundred forty".