106449585 has 16 divisors (see below), whose sum is σ = 185803200. Its totient is φ = 51611840.

The previous prime is 106449559. The next prime is 106449587. The reversal of 106449585 is 585944601.

It is not a de Polignac number, because 106449585 - 2¹³ = 106441393 is a prime.

It is a super-2 number, since 2×106449585² = 22663028293344450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106449587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322410 + ... + 322739.

It is an arithmetic number, because the mean of its divisors is an integer number (11612700).

Almost surely, 2^106449585 is an apocalyptic number.

106449585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106449585 is a deficient number, since it is larger than the sum of its proper divisors (79353615).

106449585 is a wasteful number, since it uses less digits than its factorization.

106449585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645168.

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 106449585 is about 10317.4408164040. The cubic root of 106449585 is about 473.9304986313.

The spelling of 106449585 in words is "one hundred six million, four hundred forty-nine thousand, five hundred eighty-five".