106106958 has 48 divisors (see below), whose sum is σ = 241297056. Its totient is φ = 33633600.

The previous prime is 106106947. The next prime is 106106971. The reversal of 106106958 is 859601601.

It is a super-2 number, since 2×106106958² = 22517373072027528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80908 + ... + 82208.

It is an arithmetic number, because the mean of its divisors is an integer number (5027022).

Almost surely, 2^106106958 is an apocalyptic number.

106106958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106106958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648528).

106106958 is an abundant number, since it is smaller than the sum of its proper divisors (135190098).

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

106106958 is a wasteful number, since it uses less digits than its factorization.

106106958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 106106958 is about 10300.8231709898. The cubic root of 106106958 is about 473.4214754632.

The spelling of 106106958 in words is "one hundred six million, one hundred six thousand, nine hundred fifty-eight".