105867468 has 72 divisors (see below), whose sum is σ = 321950720. Its totient is φ = 28654560.

The previous prime is 105867467. The next prime is 105867481. The reversal of 105867468 is 864768501.

It is a happy number.

105867468 is a `hidden beast` number, since 1 + 0 + 586 + 7 + 4 + 68 = 666.

It is a super-2 number, since 2×105867468² = 22415841561462048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105867467) 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, 6268 + ... + 15843.

Almost surely, 2^105867468 is an apocalyptic number.

105867468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105867468 is an abundant number, since it is smaller than the sum of its proper divisors (216083252).

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

105867468 is a wasteful number, since it uses less digits than its factorization.

105867468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22147 (or 22142 counting only the distinct ones).

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

The square root of 105867468 is about 10289.1918049962. The cubic root of 105867468 is about 473.0650265865.

The spelling of 105867468 in words is "one hundred five million, eight hundred sixty-seven thousand, four hundred sixty-eight".