105537091 has 4 divisors (see below), whose sum is σ = 115131384. Its totient is φ = 95942800.

The previous prime is 105537059. The next prime is 105537101. The reversal of 105537091 is 190735501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105537091 - 2⁵ = 105537059 is a prime.

It is a super-3 number, since 3×105537091³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105537031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4797130 + ... + 4797151.

It is an arithmetic number, because the mean of its divisors is an integer number (28782846).

Almost surely, 2^105537091 is an apocalyptic number.

105537091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105537091 is a deficient number, since it is larger than the sum of its proper divisors (9594293).

105537091 is an equidigital number, since it uses as much as digits as its factorization.

105537091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9594292.

The product of its (nonzero) digits is 4725, while the sum is 31.

The square root of 105537091 is about 10273.1246950478. The cubic root of 105537091 is about 472.5724211753.

The spelling of 105537091 in words is "one hundred five million, five hundred thirty-seven thousand, ninety-one".