106052667 has 32 divisors (see below), whose sum is σ = 164851200. Its totient is φ = 59397888.

The previous prime is 106052627. The next prime is 106052707. The reversal of 106052667 is 766250601.

It is an interprime number because it is at equal distance from previous prime (106052627) and next prime (106052707).

It is not a de Polignac number, because 106052667 - 2⁸ = 106052411 is a prime.

It is a super-2 number, since 2×106052667² = 22494336355625778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106052627) 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, 334393 + ... + 334709.

It is an arithmetic number, because the mean of its divisors is an integer number (5151600).

Almost surely, 2^106052667 is an apocalyptic number.

106052667 is a deficient number, since it is larger than the sum of its proper divisors (58798533).

106052667 is a wasteful number, since it uses less digits than its factorization.

106052667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106052667 is about 10298.1875589834. The cubic root of 106052667 is about 473.3407176106.

The spelling of 106052667 in words is "one hundred six million, fifty-two thousand, six hundred sixty-seven".