105874668 has 24 divisors (see below), whose sum is σ = 274490160. Its totient is φ = 35291520.

The previous prime is 105874661. The next prime is 105874709. The reversal of 105874668 is 866478501.

It is a happy number.

105874668 is a `hidden beast` number, since 1 + 0 + 587 + 4 + 6 + 68 = 666.

It is a super-2 number, since 2×105874668² = 22418890648220448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105874661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490053 + ... + 490268.

It is an arithmetic number, because the mean of its divisors is an integer number (11437090).

Almost surely, 2^105874668 is an apocalyptic number.

105874668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105874668 is an abundant number, since it is smaller than the sum of its proper divisors (168615492).

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

105874668 is a wasteful number, since it uses less digits than its factorization.

105874668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980334 (or 980326 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 105874668 is about 10289.5416807553. The cubic root of 105874668 is about 473.0757506583.

The spelling of 105874668 in words is "one hundred five million, eight hundred seventy-four thousand, six hundred sixty-eight".