105667668 has 18 divisors (see below), whose sum is σ = 267104474. Its totient is φ = 35222544.

The previous prime is 105667663. The next prime is 105667691. The reversal of 105667668 is 866766501.

105667668 is a `hidden beast` number, since 10 + 566 + 76 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66879684 + 38787984 = 8178^2 + 6228^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105667668² = 22331312121116448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105667663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1467571 + ... + 1467642.

Almost surely, 2^105667668 is an apocalyptic number.

105667668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105667668 is an abundant number, since it is smaller than the sum of its proper divisors (161436806).

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

105667668 is a wasteful number, since it uses less digits than its factorization.

105667668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935223 (or 2935218 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 105667668 is about 10279.4780023112. The cubic root of 105667668 is about 472.7672394352.

The spelling of 105667668 in words is "one hundred five million, six hundred sixty-seven thousand, six hundred sixty-eight".