105672747 has 8 divisors (see below), whose sum is σ = 142265344. Its totient is φ = 69764328.

The previous prime is 105672719. The next prime is 105672751. The reversal of 105672747 is 747276501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105672747 - 2¹⁰ = 105671723 is a prime.

It is a super-2 number, since 2×105672747² = 22333458917052018, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105672767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170683 + ... + 171300.

It is an arithmetic number, because the mean of its divisors is an integer number (17783168).

Almost surely, 2^105672747 is an apocalyptic number.

105672747 is a deficient number, since it is larger than the sum of its proper divisors (36592597).

105672747 is a wasteful number, since it uses less digits than its factorization.

105672747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342089.

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 105672747 is about 10279.7250449611. The cubic root of 105672747 is about 472.7748139575.

The spelling of 105672747 in words is "one hundred five million, six hundred seventy-two thousand, seven hundred forty-seven".