106629042 has 32 divisors (see below), whose sum is σ = 235876032. Its totient is φ = 31921344.

The previous prime is 106629013. The next prime is 106629071. The reversal of 106629042 is 240926601.

It is an interprime number because it is at equal distance from previous prime (106629013) and next prime (106629071).

It is a super-2 number, since 2×106629042² = 22739505195675528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15588 + ... + 21359.

It is an arithmetic number, because the mean of its divisors is an integer number (7371126).

Almost surely, 2^106629042 is an apocalyptic number.

106629042 is an abundant number, since it is smaller than the sum of its proper divisors (129246990).

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

106629042 is a wasteful number, since it uses less digits than its factorization.

106629042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37002.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 106629042 is about 10326.1339328909. The cubic root of 106629042 is about 474.1966728224.

The spelling of 106629042 in words is "one hundred six million, six hundred twenty-nine thousand, forty-two".