106504965 has 96 divisors (see below), whose sum is σ = 222393600. Its totient is φ = 46126080.

The previous prime is 106504919. The next prime is 106504967. The reversal of 106504965 is 569405601.

It is not a de Polignac number, because 106504965 - 2⁷ = 106504837 is a prime.

It is a super-2 number, since 2×106504965² = 22686615139302450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106504967) 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 95 ways as a sum of consecutive naturals, for example, 812950 + ... + 813080.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 2^106504965 is an apocalyptic number.

106504965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106504965 is an abundant number, since it is smaller than the sum of its proper divisors (115888635).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106504965 is a wasteful number, since it uses less digits than its factorization.

106504965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106504965 is about 10320.1242725076. The cubic root of 106504965 is about 474.0126712417.

The spelling of 106504965 in words is "one hundred six million, five hundred four thousand, nine hundred sixty-five".