105801240 has 64 divisors (see below), whose sum is σ = 319737600. Its totient is φ = 28006272.

The previous prime is 105801239. The next prime is 105801257. The reversal of 105801240 is 42108501.

It is a super-2 number, since 2×105801240² = 22387804771075200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13509 + ... + 19851.

It is an arithmetic number, because the mean of its divisors is an integer number (4995900).

Almost surely, 2^105801240 is an apocalyptic number.

105801240 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 105801240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159868800).

105801240 is an abundant number, since it is smaller than the sum of its proper divisors (213936360).

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

105801240 is a wasteful number, since it uses less digits than its factorization.

105801240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 105801240 is about 10285.9729729375. The cubic root of 105801240 is about 472.9663601861.

Adding to 105801240 its reverse (42108501), we get a palindrome (147909741).

The spelling of 105801240 in words is "one hundred five million, eight hundred one thousand, two hundred forty".