105135591 has 16 divisors (see below), whose sum is σ = 153358848. Its totient is φ = 63537600.

The previous prime is 105135533. The next prime is 105135619. The reversal of 105135591 is 195531501.

It is not a de Polignac number, because 105135591 - 2¹⁰ = 105134567 is a prime.

It is a super-2 number, since 2×105135591² = 22106984989838562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105135091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7771 + ... + 16451.

It is an arithmetic number, because the mean of its divisors is an integer number (9584928).

Almost surely, 2^105135591 is an apocalyptic number.

105135591 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105135591 is a deficient number, since it is larger than the sum of its proper divisors (48223257).

105135591 is a wasteful number, since it uses less digits than its factorization.

105135591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9062.

The product of its (nonzero) digits is 3375, while the sum is 30.

The square root of 105135591 is about 10253.5647947433. The cubic root of 105135591 is about 471.9723826966.

The spelling of 105135591 in words is "one hundred five million, one hundred thirty-five thousand, five hundred ninety-one".