106167168 has 96 divisors (see below), whose sum is σ = 307976760. Its totient is φ = 35103744.

The previous prime is 106167161. The next prime is 106167181. The reversal of 106167168 is 861761601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106167168² = 22542935122280448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106167161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180571 + ... + 181157.

Almost surely, 2^106167168 is an apocalyptic number.

106167168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153988380).

106167168 is an abundant number, since it is smaller than the sum of its proper divisors (201809592).

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

106167168 is a wasteful number, since it uses less digits than its factorization.

106167168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106167168 is about 10303.7453384679. The cubic root of 106167168 is about 473.5110056180.

The spelling of 106167168 in words is "one hundred six million, one hundred sixty-seven thousand, one hundred sixty-eight".