106629663 has 16 divisors (see below), whose sum is σ = 162686720. Its totient is φ = 60854976.

The previous prime is 106629631. The next prime is 106629689. The reversal of 106629663 is 366926601.

It is a happy number.

It is not a de Polignac number, because 106629663 - 2⁵ = 106629631 is a prime.

It is a super-2 number, since 2×106629663² = 22739770062987138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106629613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16968 + ... + 22386.

It is an arithmetic number, because the mean of its divisors is an integer number (10167920).

Almost surely, 2^106629663 is an apocalyptic number.

106629663 is a deficient number, since it is larger than the sum of its proper divisors (56057057).

106629663 is an equidigital number, since it uses as much as digits as its factorization.

106629663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366.

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 106629663 is about 10326.1640021840. The cubic root of 106629663 is about 474.1975933833.

The spelling of 106629663 in words is "one hundred six million, six hundred twenty-nine thousand, six hundred sixty-three".