106264015 has 48 divisors (see below), whose sum is σ = 154173600. Its totient is φ = 69822720.

The previous prime is 106264009. The next prime is 106264021. The reversal of 106264015 is 510462601.

It is an interprime number because it is at equal distance from previous prime (106264009) and next prime (106264021).

It is not a de Polignac number, because 106264015 - 2⁹ = 106263503 is a prime.

It is a super-2 number, since 2×106264015² = 22584081767840450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463921 + ... + 464149.

It is an arithmetic number, because the mean of its divisors is an integer number (3211950).

Almost surely, 2^106264015 is an apocalyptic number.

106264015 is a deficient number, since it is larger than the sum of its proper divisors (47909585).

106264015 is a wasteful number, since it uses less digits than its factorization.

106264015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 106264015 is about 10308.4438689843. The cubic root of 106264015 is about 473.6549427195.

It can be divided in two parts, 10626 and 4015, that added together give a palindrome (14641).

The spelling of 106264015 in words is "one hundred six million, two hundred sixty-four thousand, fifteen".