106105870 has 64 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 37416960.

The previous prime is 106105849. The next prime is 106105871. The reversal of 106105870 is 78501601.

It is a happy number.

It is a super-2 number, since 2×106105870² = 22516911296913800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105871) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 455274 + ... + 455506.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2^106105870 is an apocalyptic number.

106105870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106105870 is an abundant number, since it is smaller than the sum of its proper divisors (109009394).

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

106105870 is a wasteful number, since it uses less digits than its factorization.

106105870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 106105870 is about 10300.7703595411. The cubic root of 106105870 is about 473.4198573340.

The spelling of 106105870 in words is "one hundred six million, one hundred five thousand, eight hundred seventy".