105416112 has 40 divisors (see below), whose sum is σ = 278125056. Its totient is φ = 34390336.

The previous prime is 105416081. The next prime is 105416117. The reversal of 105416112 is 211614501.

It is a super-2 number, since 2×105416112² = 22225113338393088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105416117) 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, 21108 + ... + 25619.

Almost surely, 2^105416112 is an apocalyptic number.

105416112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105416112 is an abundant number, since it is smaller than the sum of its proper divisors (172708944).

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

105416112 is a wasteful number, since it uses less digits than its factorization.

105416112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46785 (or 46779 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 105416112 is about 10267.2348760511. The cubic root of 105416112 is about 472.3917794761.

It can be divided in two parts, 10541 and 6112, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 105416112 in words is "one hundred five million, four hundred sixteen thousand, one hundred twelve".