105424812 has 36 divisors (see below), whose sum is σ = 267627360. Its totient is φ = 34991712.

The previous prime is 105424757. The next prime is 105424841. The reversal of 105424812 is 218424501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105424812² = 22228781970470688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2478 + ... + 14730.

Almost surely, 2^105424812 is an apocalyptic number.

105424812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105424812 is an abundant number, since it is smaller than the sum of its proper divisors (162202548).

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

105424812 is a wasteful number, since it uses less digits than its factorization.

105424812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12502 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 105424812 is about 10267.6585451601. The cubic root of 105424812 is about 472.4047746288.

The spelling of 105424812 in words is "one hundred five million, four hundred twenty-four thousand, eight hundred twelve".