105047667 has 18 divisors (see below), whose sum is σ = 155562836. Its totient is φ = 68271840.

The previous prime is 105047659. The next prime is 105047687. The reversal of 105047667 is 766740501.

It is not a de Polignac number, because 105047667 - 2³ = 105047659 is a prime.

It is a super-2 number, since 2×105047667² = 22070024684285778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105047687) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 201367 + ... + 201887.

Almost surely, 2^105047667 is an apocalyptic number.

105047667 is a deficient number, since it is larger than the sum of its proper divisors (50515169).

105047667 is an frugal number, since it uses more digits than its factorization.

105047667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 567 counting only the distinct ones).

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

The square root of 105047667 is about 10249.2764134840. The cubic root of 105047667 is about 471.8407771739.

The spelling of 105047667 in words is "one hundred five million, forty-seven thousand, six hundred sixty-seven".