106871418 has 48 divisors (see below), whose sum is σ = 246182976. Its totient is φ = 33390720.

The previous prime is 106871411. The next prime is 106871419. The reversal of 106871418 is 814178601.

It is a super-2 number, since 2×106871418² = 22842999970661448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106871411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94605 + ... + 95727.

It is an arithmetic number, because the mean of its divisors is an integer number (5128812).

Almost surely, 2^106871418 is an apocalyptic number.

106871418 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 106871418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123091488).

106871418 is an abundant number, since it is smaller than the sum of its proper divisors (139311558).

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

106871418 is a wasteful number, since it uses less digits than its factorization.

106871418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 106871418 is about 10337.8633188875. The cubic root of 106871418 is about 474.5556960801. Note that the first 3 decimals are identical.

The spelling of 106871418 in words is "one hundred six million, eight hundred seventy-one thousand, four hundred eighteen".