105937537 has 4 divisors (see below), whose sum is σ = 106210260. Its totient is φ = 105664816.

The previous prime is 105937529. The next prime is 105937547. The reversal of 105937537 is 735739501.

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

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 89094721 = 4104^2 + 9439^2 .

It is a cyclic number.

It is not a de Polignac number, because 105937537 - 2³ = 105937529 is a prime.

It is a super-2 number, since 2×105937537² = 22445523491252738, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105937537.

It is not an unprimeable number, because it can be changed into a prime (105937547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135778 + ... + 136555.

It is an arithmetic number, because the mean of its divisors is an integer number (26552565).

Almost surely, 2^105937537 is an apocalyptic number.

It is an amenable number.

105937537 is a deficient number, since it is larger than the sum of its proper divisors (272723).

105937537 is an equidigital number, since it uses as much as digits as its factorization.

105937537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272722.

The product of its (nonzero) digits is 99225, while the sum is 40.

The square root of 105937537 is about 10292.5962225281. The cubic root of 105937537 is about 473.1693705170.

The spelling of 105937537 in words is "one hundred five million, nine hundred thirty-seven thousand, five hundred thirty-seven".