106505047 has 12 divisors (see below), whose sum is σ = 117356008. Its totient is φ = 96584400.

The previous prime is 106505027. The next prime is 106505053. The reversal of 106505047 is 740505601.

It is not a de Polignac number, because 106505047 - 2⁷ = 106504919 is a prime.

It is a super-2 number, since 2×106505047² = 22686650072944418, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106505027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64648 + ... + 66274.

Almost surely, 2^106505047 is an apocalyptic number.

106505047 is a deficient number, since it is larger than the sum of its proper divisors (10850961).

106505047 is a wasteful number, since it uses less digits than its factorization.

106505047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 106505047 is about 10320.1282453272. The cubic root of 106505047 is about 474.0127928918.

The spelling of 106505047 in words is "one hundred six million, five hundred five thousand, forty-seven".