106865505 has 24 divisors (see below), whose sum is σ = 185602560. Its totient is φ = 56881440.

The previous prime is 106865497. The next prime is 106865513. The reversal of 106865505 is 505568601.

It is an interprime number because it is at equal distance from previous prime (106865497) and next prime (106865513).

It is not a de Polignac number, because 106865505 - 2³ = 106865497 is a prime.

It is a super-2 number, since 2×106865505² = 22840472317810050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106865505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23616 + ... + 27774.

It is an arithmetic number, because the mean of its divisors is an integer number (7733440).

Almost surely, 2^106865505 is an apocalyptic number.

106865505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106865505 is a deficient number, since it is larger than the sum of its proper divisors (78737055).

106865505 is a wasteful number, since it uses less digits than its factorization.

106865505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 106865505 is about 10337.5773274012. The cubic root of 106865505 is about 474.5469438192.

The spelling of 106865505 in words is "one hundred six million, eight hundred sixty-five thousand, five hundred five".