105124240 has 40 divisors (see below), whose sum is σ = 263217528. Its totient is φ = 38814720.

The previous prime is 105124213. The next prime is 105124267. The reversal of 105124240 is 42421501.

It is an interprime number because it is at equal distance from previous prime (105124213) and next prime (105124267).

It can be written as a sum of positive squares in 4 ways, for example, as 16613776 + 88510464 = 4076^2 + 9408^2 .

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

It is a super-2 number, since 2×105124240² = 22102211671155200, which contains 22 as substring.

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, 49501 + ... + 51580.

Almost surely, 2^105124240 is an apocalyptic number.

105124240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105124240 is an abundant number, since it is smaller than the sum of its proper divisors (158093288).

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

105124240 is a wasteful number, since it uses less digits than its factorization.

105124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101107 (or 101101 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 105124240 is about 10253.0112649894. The cubic root of 105124240 is about 471.9553965321.

Adding to 105124240 its reverse (42421501), we get a palindrome (147545741).

The spelling of 105124240 in words is "one hundred five million, one hundred twenty-four thousand, two hundred forty".