105114240 has 512 divisors, whose sum is σ = 470016000. Its totient is φ = 21565440.

The previous prime is 105114221. The next prime is 105114253. The reversal of 105114240 is 42411501.

It is a super-2 number, since 2×105114240² = 22098006901555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330521 + ... + 1330599.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^105114240 is an apocalyptic number.

105114240 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 105114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

105114240 is an abundant number, since it is smaller than the sum of its proper divisors (364901760).

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

105114240 is a wasteful number, since it uses less digits than its factorization.

105114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105114240 is about 10252.5235917797. The cubic root of 105114240 is about 471.9404310537.

Adding to 105114240 its reverse (42411501), we get a palindrome (147525741).

The spelling of 105114240 in words is "one hundred five million, one hundred fourteen thousand, two hundred forty".