106629977 has 8 divisors (see below), whose sum is σ = 107765856. Its totient is φ = 105499552.

The previous prime is 106629961. The next prime is 106629983. The reversal of 106629977 is 779926601.

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

It is a cyclic number.

It is not a de Polignac number, because 106629977 - 2⁴ = 106629961 is a prime.

It is a super-2 number, since 2×106629977² = 22739903990041058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106629917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46418 + ... + 48660.

It is an arithmetic number, because the mean of its divisors is an integer number (13470732).

Almost surely, 2^106629977 is an apocalyptic number.

It is an amenable number.

106629977 is a deficient number, since it is larger than the sum of its proper divisors (1135879).

106629977 is a wasteful number, since it uses less digits than its factorization.

106629977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727.

The product of its (nonzero) digits is 285768, while the sum is 47.

The square root of 106629977 is about 10326.1792062699. The cubic root of 106629977 is about 474.1980588507.

The spelling of 106629977 in words is "one hundred six million, six hundred twenty-nine thousand, nine hundred seventy-seven".