106638408 has 36 divisors (see below), whose sum is σ = 289049865. Its totient is φ = 35516928.

The previous prime is 106638401. The next prime is 106638421. The reversal of 106638408 is 804836601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106638408 is a `hidden beast` number, since 10 + 6 + 638 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103673124 + 2965284 = 10182^2 + 1722^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7302.

It is a super-2 number, since 2×106638408² = 22743500121548928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106638401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87016 + ... + 88232.

Almost surely, 2^106638408 is an apocalyptic number.

106638408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106638408 is an abundant number, since it is smaller than the sum of its proper divisors (182411457).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106638408 is an equidigital number, since it uses as much as digits as its factorization.

106638408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106638408 is about 10326.5874324483. The cubic root of 106638408 is about 474.2105564571.

The spelling of 106638408 in words is "one hundred six million, six hundred thirty-eight thousand, four hundred eight".