106967142 has 48 divisors (see below), whose sum is σ = 243144720. Its totient is φ = 35240832.

The previous prime is 106967129. The next prime is 106967149. The reversal of 106967142 is 241769601.

106967142 is nontrivially palindromic in base 16.

It is a super-2 number, since 2×106967142² = 22883938935296328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106967097 and 106967106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106967149) 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, 42018 + ... + 44490.

It is an arithmetic number, because the mean of its divisors is an integer number (5065515).

Almost surely, 2^106967142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106967142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121572360).

106967142 is an abundant number, since it is smaller than the sum of its proper divisors (136177578).

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

106967142 is an equidigital number, since it uses as much as digits as its factorization.

106967142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 106967142 is about 10342.4920594603. The cubic root of 106967142 is about 474.6973392320.

The spelling of 106967142 in words is "one hundred six million, nine hundred sixty-seven thousand, one hundred forty-two".