106566915 has 96 divisors (see below), whose sum is σ = 225227520. Its totient is φ = 42529536.

The previous prime is 106566893. The next prime is 106566923. The reversal of 106566915 is 519665601.

It is not a de Polignac number, because 106566915 - 2¹⁰ = 106565891 is a prime.

It is a super-2 number, since 2×106566915² = 22713014745234450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 181252 + ... + 181838.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^106566915 is an apocalyptic number.

106566915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106566915 is an abundant number, since it is smaller than the sum of its proper divisors (118660605).

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

106566915 is a wasteful number, since it uses less digits than its factorization.

106566915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 106566915 is about 10323.1252535267. The cubic root of 106566915 is about 474.1045586427.

It can be divided in two parts, 10656 and 6915, that added together give a palindrome (17571).

The spelling of 106566915 in words is "one hundred six million, five hundred sixty-six thousand, nine hundred fifteen".