106446564 has 36 divisors (see below), whose sum is σ = 307513024. Its totient is φ = 30413232.

The previous prime is 106446563. The next prime is 106446583. The reversal of 106446564 is 465644601.

106446564 is a `hidden beast` number, since 1 + 0 + 644 + 6 + 5 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106446564² = 22661741974812192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106446563) 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, 210952 + ... + 211455.

Almost surely, 2^106446564 is an apocalyptic number.

106446564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106446564 is an abundant number, since it is smaller than the sum of its proper divisors (201066460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106446564 is a wasteful number, since it uses less digits than its factorization.

106446564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422424 (or 422419 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 106446564 is about 10317.2944127809. The cubic root of 106446564 is about 473.9260152646.

The spelling of 106446564 in words is "one hundred six million, four hundred forty-six thousand, five hundred sixty-four".