105074240 has 28 divisors (see below), whose sum is σ = 250208796. Its totient is φ = 42029568.

The previous prime is 105074219. The next prime is 105074251. The reversal of 105074240 is 42470501.

It can be written as a sum of positive squares in 2 ways, for example, as 62980096 + 42094144 = 7936^2 + 6488^2 .

It is a super-2 number, since 2×105074240² = 22081191823155200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163859 + ... + 164498.

Almost surely, 2^105074240 is an apocalyptic number.

105074240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105074240 is an abundant number, since it is smaller than the sum of its proper divisors (145134556).

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

105074240 is an equidigital number, since it uses as much as digits as its factorization.

105074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328374 (or 328364 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 105074240 is about 10250.5726669294. The cubic root of 105074240 is about 471.8805596468.

The spelling of 105074240 in words is "one hundred five million, seventy-four thousand, two hundred forty".