106522564 has 12 divisors (see below), whose sum is σ = 186549804. Its totient is φ = 53222624.

The previous prime is 106522547. The next prime is 106522571. The reversal of 106522564 is 465225601.

It can be written as a sum of positive squares in 2 ways, for example, as 92006464 + 14516100 = 9592^2 + 3810^2 .

It is a super-2 number, since 2×106522564² = 22694113282268192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2947 + ... + 14890.

It is an arithmetic number, because the mean of its divisors is an integer number (15545817).

Almost surely, 2^106522564 is an apocalyptic number.

It is an amenable number.

106522564 is a deficient number, since it is larger than the sum of its proper divisors (80027240).

106522564 is a wasteful number, since it uses less digits than its factorization.

106522564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19334 (or 19332 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 106522564 is about 10320.9768917482. The cubic root of 106522564 is about 474.0387785991.

The spelling of 106522564 in words is "one hundred six million, five hundred twenty-two thousand, five hundred sixty-four".