105406672 has 20 divisors (see below), whose sum is σ = 233400736. Its totient is φ = 45174240.

The previous prime is 105406669. The next prime is 105406703. The reversal of 105406672 is 276604501.

It is a happy number.

It is a super-2 number, since 2×105406672² = 22221133004231168, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470454 + ... + 470677.

Almost surely, 2^105406672 is an apocalyptic number.

It is an amenable number.

105406672 is an abundant number, since it is smaller than the sum of its proper divisors (127994064).

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

105406672 is an equidigital number, since it uses as much as digits as its factorization.

105406672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941146 (or 941140 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 105406672 is about 10266.7751509420. The cubic root of 105406672 is about 472.3776781797.

The spelling of 105406672 in words is "one hundred five million, four hundred six thousand, six hundred seventy-two".