106311168 has 60 divisors (see below), whose sum is σ = 306834528. Its totient is φ = 35435520.

The previous prime is 106311113. The next prime is 106311181. The reversal of 106311168 is 861113601.

106311168 is a `hidden beast` number, since 10 + 631 + 1 + 16 + 8 = 666.

It is a super-2 number, since 2×106311168² = 22604128883048448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6928 + ... + 16143.

Almost surely, 2^106311168 is an apocalyptic number.

106311168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106311168 is an abundant number, since it is smaller than the sum of its proper divisors (200523360).

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

106311168 is an equidigital number, since it uses as much as digits as its factorization.

106311168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23095 (or 23076 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 106311168 is about 10310.7307209528. The cubic root of 106311168 is about 473.7249913584.

Adding to 106311168 its reverse (861113601), we get a palindrome (967424769).

The spelling of 106311168 in words is "one hundred six million, three hundred eleven thousand, one hundred sixty-eight".