106638837 has 8 divisors (see below), whose sum is σ = 142354080. Its totient is φ = 71008080.

The previous prime is 106638803. The next prime is 106638859. The reversal of 106638837 is 738836601.

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

It is not a de Polignac number, because 106638837 - 2¹⁸ = 106376693 is a prime.

It is a super-2 number, since 2×106638837² = 22743683113425138, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106638137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18114 + ... + 23267.

It is an arithmetic number, because the mean of its divisors is an integer number (17794260).

Almost surely, 2^106638837 is an apocalyptic number.

It is an amenable number.

106638837 is a deficient number, since it is larger than the sum of its proper divisors (35715243).

106638837 is an equidigital number, since it uses as much as digits as its factorization.

106638837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42243.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 106638837 is about 10326.6082040523. The cubic root of 106638837 is about 474.2111923633.

It can be divided in two parts, 1066 and 38837, that added together give a triangular number (39903 = T₂₈₂).

The spelling of 106638837 in words is "one hundred six million, six hundred thirty-eight thousand, eight hundred thirty-seven".