106564472 has 32 divisors (see below), whose sum is σ = 228808800. Its totient is φ = 45579264.

The previous prime is 106564459. The next prime is 106564481. The reversal of 106564472 is 274465601.

It is a super-2 number, since 2×106564472² = 22711973385277568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31604 + ... + 34812.

It is an arithmetic number, because the mean of its divisors is an integer number (7150275).

Almost surely, 2^106564472 is an apocalyptic number.

It is an amenable number.

106564472 is an abundant number, since it is smaller than the sum of its proper divisors (122244328).

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

106564472 is a wasteful number, since it uses less digits than its factorization.

106564472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 106564472 is about 10323.0069262788. The cubic root of 106564472 is about 474.1009357350.

The spelling of 106564472 in words is "one hundred six million, five hundred sixty-four thousand, four hundred seventy-two".