106667583 has 32 divisors (see below), whose sum is σ = 162777600. Its totient is φ = 61501440.

The previous prime is 106667573. The next prime is 106667599. The reversal of 106667583 is 385766601.

It is a Cunningham number, because it is equal to 10328²-1.

It is not a de Polignac number, because 106667583 - 2¹³ = 106659391 is a prime.

It is a super-2 number, since 2×106667583² = 22755946526123778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106667543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237343 + ... + 237791.

It is an arithmetic number, because the mean of its divisors is an integer number (5086800).

Almost surely, 2^106667583 is an apocalyptic number.

106667583 is a deficient number, since it is larger than the sum of its proper divisors (56110017).

106667583 is a wasteful number, since it uses less digits than its factorization.

106667583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799.

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 106667583 is about 10327.9999515879. Note that the first 4 decimals coincide. The cubic root of 106667583 is about 474.2537986364.

The spelling of 106667583 in words is "one hundred six million, six hundred sixty-seven thousand, five hundred eighty-three".