105746672 has 20 divisors (see below), whose sum is σ = 208244856. Its totient is φ = 52006080.

The previous prime is 105746671. The next prime is 105746717. The reversal of 105746672 is 276647501.

It is a super-2 number, since 2×105746672² = 22364717278151168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105746671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53198 + ... + 55149.

Almost surely, 2^105746672 is an apocalyptic number.

It is an amenable number.

105746672 is a deficient number, since it is larger than the sum of its proper divisors (102498184).

105746672 is a wasteful number, since it uses less digits than its factorization.

105746672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108416 (or 108410 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 105746672 is about 10283.3200864312. The cubic root of 105746672 is about 472.8850338971.

The spelling of 105746672 in words is "one hundred five million, seven hundred forty-six thousand, six hundred seventy-two".