106566144 has 40 divisors (see below), whose sum is σ = 283902960. Its totient is φ = 35521536.

The previous prime is 106566121. The next prime is 106566221. The reversal of 106566144 is 441665601.

It is a happy number.

It is a super-2 number, since 2×106566144² = 22712686094057472, 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, 33154 + ... + 36225.

It is an arithmetic number, because the mean of its divisors is an integer number (7097574).

Almost surely, 2^106566144 is an apocalyptic number.

It is an amenable number.

106566144 is an abundant number, since it is smaller than the sum of its proper divisors (177336816).

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

106566144 is an frugal number, since it uses more digits than its factorization.

106566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69400 (or 69384 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106566144 is about 10323.0879101168. The cubic root of 106566144 is about 474.1034152750.

The spelling of 106566144 in words is "one hundred six million, five hundred sixty-six thousand, one hundred forty-four".