105857672 has 16 divisors (see below), whose sum is σ = 198594060. Its totient is φ = 52899264.

The previous prime is 105857621. The next prime is 105857699. The reversal of 105857672 is 276758501.

It can be written as a sum of positive squares in 2 ways, for example, as 75099556 + 30758116 = 8666^2 + 5546^2 .

It is a super-2 number, since 2×105857672² = 22411693442519168, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 22118 + ... + 26474.

Almost surely, 2^105857672 is an apocalyptic number.

It is an amenable number.

105857672 is a deficient number, since it is larger than the sum of its proper divisors (92736388).

105857672 is a wasteful number, since it uses less digits than its factorization.

105857672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7400 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 41.

The square root of 105857672 is about 10288.7157604825. The cubic root of 105857672 is about 473.0504351103.

The spelling of 105857672 in words is "one hundred five million, eight hundred fifty-seven thousand, six hundred seventy-two".