106000564 has 12 divisors (see below), whose sum is σ = 185721984. Its totient is φ = 52937144.

The previous prime is 106000561. The next prime is 106000567. The reversal of 106000564 is 465000601.

It is an interprime number because it is at equal distance from previous prime (106000561) and next prime (106000567).

It is a super-2 number, since 2×106000564² = 22472239136636192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11902 + ... + 18805.

It is an arithmetic number, because the mean of its divisors is an integer number (15476832).

Almost surely, 2^106000564 is an apocalyptic number.

It is an amenable number.

106000564 is a deficient number, since it is larger than the sum of its proper divisors (79721420).

106000564 is a wasteful number, since it uses less digits than its factorization.

106000564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31574 (or 31572 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 106000564 is about 10295.6575312119. The cubic root of 106000564 is about 473.2631884858.

The spelling of 106000564 in words is "one hundred six million, five hundred sixty-four", and thus it is an aban number.