106513505 has 32 divisors (see below), whose sum is σ = 150336000. Its totient is φ = 72413376.

The previous prime is 106513501. The next prime is 106513513. The reversal of 106513505 is 505315601.

It is not a de Polignac number, because 106513505 - 2² = 106513501 is a prime.

It is a super-2 number, since 2×106513505² = 22690253494770050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106513501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 296516 + ... + 296874.

It is an arithmetic number, because the mean of its divisors is an integer number (4698000).

Almost surely, 2^106513505 is an apocalyptic number.

It is an amenable number.

106513505 is a deficient number, since it is larger than the sum of its proper divisors (43822495).

106513505 is an equidigital number, since it uses as much as digits as its factorization.

106513505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 106513505 is about 10320.5380189213. The cubic root of 106513505 is about 474.0253403225.

The spelling of 106513505 in words is "one hundred six million, five hundred thirteen thousand, five hundred five".