106412965 has 8 divisors (see below), whose sum is σ = 127806840. Its totient is φ = 85056192.

The previous prime is 106412959. The next prime is 106412989. The reversal of 106412965 is 569214601.

It can be written as a sum of positive squares in 4 ways, for example, as 60186564 + 46226401 = 7758^2 + 6799^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106412965 - 2⁷ = 106412837 is a prime.

It is a super-2 number, since 2×106412965² = 22647438240182450, 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 106412965.

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 7 ways as a sum of consecutive naturals, for example, 2514 + ... + 14803.

It is an arithmetic number, because the mean of its divisors is an integer number (15975855).

Almost surely, 2^106412965 is an apocalyptic number.

It is an amenable number.

106412965 is a deficient number, since it is larger than the sum of its proper divisors (21393875).

106412965 is a wasteful number, since it uses less digits than its factorization.

106412965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18551.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 106412965 is about 10315.6659988582. The cubic root of 106412965 is about 473.8761463750.

The spelling of 106412965 in words is "one hundred six million, four hundred twelve thousand, nine hundred sixty-five".