105059037 has 8 divisors (see below), whose sum is σ = 147451360. Its totient is φ = 66353040.

The previous prime is 105059029. The next prime is 105059039. The reversal of 105059037 is 730950501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105059037 - 2³ = 105059029 is a prime.

It is a super-2 number, since 2×105059037² = 22074802510734738, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105058995 and 105059013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105059039) 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 7 ways as a sum of consecutive naturals, for example, 921514 + ... + 921627.

It is an arithmetic number, because the mean of its divisors is an integer number (18431420).

Almost surely, 2^105059037 is an apocalyptic number.

It is an amenable number.

105059037 is a deficient number, since it is larger than the sum of its proper divisors (42392323).

105059037 is a wasteful number, since it uses less digits than its factorization.

105059037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843163.

The product of its (nonzero) digits is 4725, while the sum is 30.

The square root of 105059037 is about 10249.8310717787. The cubic root of 105059037 is about 471.8578000368.

The spelling of 105059037 in words is "one hundred five million, fifty-nine thousand, thirty-seven".