106505037 has 20 divisors (see below), whose sum is σ = 162108540. Its totient is φ = 69660864.

The previous prime is 106505027. The next prime is 106505053. The reversal of 106505037 is 730505601.

106505037 is a `hidden beast` number, since 1 + 0 + 650 + 5 + 0 + 3 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85766121 + 20738916 = 9261^2 + 4554^2 .

It is not a de Polignac number, because 106505037 - 2¹¹ = 106502989 is a prime.

It is a super-2 number, since 2×106505037² = 22686645812742738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106505037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106505027) 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 19 ways as a sum of consecutive naturals, for example, 8112 + ... + 16697.

It is an arithmetic number, because the mean of its divisors is an integer number (8105427).

Almost surely, 2^106505037 is an apocalyptic number.

It is an amenable number.

106505037 is a deficient number, since it is larger than the sum of its proper divisors (55603503).

106505037 is an equidigital number, since it uses as much as digits as its factorization.

106505037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24874 (or 24865 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 106505037 is about 10320.1277608371. The cubic root of 106505037 is about 474.0127780564.

The spelling of 106505037 in words is "one hundred six million, five hundred five thousand, thirty-seven".