105087042 has 24 divisors (see below), whose sum is σ = 227923644. Its totient is φ = 34992864.

The previous prime is 105087019. The next prime is 105087049. The reversal of 105087042 is 240780501.

It can be written as a sum of positive squares in 2 ways, for example, as 102394161 + 2692881 = 10119^2 + 1641^2 .

It is a super-2 number, since 2×105087042² = 22086572792619528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105086997 and 105087015.

It is not an unprimeable number, because it can be changed into a prime (105087049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19428 + ... + 24240.

Almost surely, 2^105087042 is an apocalyptic number.

105087042 is an abundant number, since it is smaller than the sum of its proper divisors (122836602).

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

105087042 is a wasteful number, since it uses less digits than its factorization.

105087042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034 (or 6031 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105087042 is about 10251.1971008268. The cubic root of 105087042 is about 471.8997231436.

The spelling of 105087042 in words is "one hundred five million, eighty-seven thousand, forty-two".