106629981 has 24 divisors (see below), whose sum is σ = 149016960. Its totient is φ = 67790016.

The previous prime is 106629961. The next prime is 106629983. The reversal of 106629981 is 189926601.

It is not a de Polignac number, because 106629981 - 2⁶ = 106629917 is a prime.

It is a super-2 number, since 2×106629981² = 22739905696120722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106629983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260505 + ... + 260913.

It is an arithmetic number, because the mean of its divisors is an integer number (6209040).

Almost surely, 2^106629981 is an apocalyptic number.

It is an amenable number.

106629981 is a deficient number, since it is larger than the sum of its proper divisors (42386979).

106629981 is an equidigital number, since it uses as much as digits as its factorization.

106629981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 106629981 is about 10326.1793999523. The cubic root of 106629981 is about 474.1980647802.

The spelling of 106629981 in words is "one hundred six million, six hundred twenty-nine thousand, nine hundred eighty-one".