106820658 has 48 divisors (see below), whose sum is σ = 265177536. Its totient is φ = 30443040.

The previous prime is 106820657. The next prime is 106820669. The reversal of 106820658 is 856028601.

It is a happy number.

It is a super-2 number, since 2×106820658² = 22821305951105928, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106820657) 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, 65088 + ... + 66708.

It is an arithmetic number, because the mean of its divisors is an integer number (5524532).

Almost surely, 2^106820658 is an apocalyptic number.

106820658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106820658 is an abundant number, since it is smaller than the sum of its proper divisors (158356878).

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

106820658 is a wasteful number, since it uses less digits than its factorization.

106820658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 106820658 is about 10335.4079745310. The cubic root of 106820658 is about 474.4805520041.

The spelling of 106820658 in words is "one hundred six million, eight hundred twenty thousand, six hundred fifty-eight".