106451505 has 12 divisors (see below), whose sum is σ = 184516020. Its totient is φ = 56774112.

The previous prime is 106451497. The next prime is 106451533. The reversal of 106451505 is 505154601.

It is a happy number.

106451505 is a `hidden beast` number, since 1 + 0 + 645 + 15 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49660209 + 56791296 = 7047^2 + 7536^2 .

It is not a de Polignac number, because 106451505 - 2³ = 106451497 is a prime.

It is a super-2 number, since 2×106451505² = 22663845833530050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182750 + ... + 1182839.

It is an arithmetic number, because the mean of its divisors is an integer number (15376335).

Almost surely, 2^106451505 is an apocalyptic number.

106451505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106451505 is a deficient number, since it is larger than the sum of its proper divisors (78064515).

106451505 is a wasteful number, since it uses less digits than its factorization.

106451505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365600 (or 2365597 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 106451505 is about 10317.5338623142. The cubic root of 106451505 is about 473.9333479960.

The spelling of 106451505 in words is "one hundred six million, four hundred fifty-one thousand, five hundred five".