10042735 has 16 divisors (see below), whose sum is σ = 12900960. Its totient is φ = 7482240.

The previous prime is 10042723. The next prime is 10042741. The reversal of 10042735 is 53724001.

10042735 = T₂₅₈₆ + T₂₅₈₇ + T₂₅₈₈.

It is not a de Polignac number, because 10042735 - 2²³ = 1654127 is a prime.

10042735 is a modest number, since divided by 42735 gives 10 as remainder.

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, 4929 + ... + 6661.

It is an arithmetic number, because the mean of its divisors is an integer number (806310).

Almost surely, 2^10042735 is an apocalyptic number.

10042735 is the 2588-th centered triangular number.

10042735 is a deficient number, since it is larger than the sum of its proper divisors (2858225).

10042735 is a wasteful number, since it uses less digits than its factorization.

10042735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 10042735 is about 3169.0274533364. The cubic root of 10042735 is about 215.7499320818.

Adding to 10042735 its reverse (53724001), we get a palindrome (63766736).

The spelling of 10042735 in words is "ten million, forty-two thousand, seven hundred thirty-five".