105726672 has 60 divisors (see below), whose sum is σ = 313300260. Its totient is φ = 33168384.

The previous prime is 105726667. The next prime is 105726683. The reversal of 105726672 is 276627501.

105726672 is a `hidden beast` number, since 10 + 572 + 6 + 6 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35569296 + 70157376 = 5964^2 + 8376^2 .

It is a super-2 number, since 2×105726672² = 22356258344391168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19147 + ... + 24042.

It is an arithmetic number, because the mean of its divisors is an integer number (5221671).

Almost surely, 2^105726672 is an apocalyptic number.

105726672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105726672 is an abundant number, since it is smaller than the sum of its proper divisors (207573588).

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

105726672 is a wasteful number, since it uses less digits than its factorization.

105726672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43220 (or 43211 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 105726672 is about 10282.3475918683. The cubic root of 105726672 is about 472.8552195720.

The spelling of 105726672 in words is "one hundred five million, seven hundred twenty-six thousand, six hundred seventy-two".