105435085 has 32 divisors (see below), whose sum is σ = 152985600. Its totient is φ = 68143680.

The previous prime is 105435079. The next prime is 105435107. The reversal of 105435085 is 580534501.

It is not a de Polignac number, because 105435085 - 2⁹ = 105434573 is a prime.

It is a super-2 number, since 2×105435085² = 22233114297914450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219876 + ... + 220354.

It is an arithmetic number, because the mean of its divisors is an integer number (4780800).

Almost surely, 2^105435085 is an apocalyptic number.

It is an amenable number.

105435085 is a deficient number, since it is larger than the sum of its proper divisors (47550515).

105435085 is a wasteful number, since it uses less digits than its factorization.

105435085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841.

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 105435085 is about 10268.1587930846. The cubic root of 105435085 is about 472.4201184444.

Adding to 105435085 its reverse (580534501), we get a palindrome (685969586).

The spelling of 105435085 in words is "one hundred five million, four hundred thirty-five thousand, eighty-five".