106400584 has 16 divisors (see below), whose sum is σ = 199796220. Its totient is φ = 53121600.

The previous prime is 106400579. The next prime is 106400629. The reversal of 106400584 is 485004601.

It can be written as a sum of positive squares in 2 ways, for example, as 104652900 + 1747684 = 10230^2 + 1322^2 .

It is a super-2 number, since 2×106400584² = 22642168551082112, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 3879 + ... + 15094.

Almost surely, 2^106400584 is an apocalyptic number.

It is an amenable number.

106400584 is a deficient number, since it is larger than the sum of its proper divisors (93395636).

106400584 is a wasteful number, since it uses less digits than its factorization.

106400584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19680 (or 19676 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 106400584 is about 10315.0658747291. The cubic root of 106400584 is about 473.8577673860.

The spelling of 106400584 in words is "one hundred six million, four hundred thousand, five hundred eighty-four".