106197965 has 16 divisors (see below), whose sum is σ = 129908016. Its totient is φ = 83328000.

The previous prime is 106197961. The next prime is 106197967. The reversal of 106197965 is 569791601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22676644 + 83521321 = 4762^2 + 9139^2 .

It is not a de Polignac number, because 106197965 - 2² = 106197961 is a prime.

It is a super-2 number, since 2×106197965² = 22556015540282450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106197961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56135 + ... + 57995.

It is an arithmetic number, because the mean of its divisors is an integer number (8119251).

Almost surely, 2^106197965 is an apocalyptic number.

It is an amenable number.

106197965 is a deficient number, since it is larger than the sum of its proper divisors (23710051).

106197965 is a wasteful number, since it uses less digits than its factorization.

106197965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080.

The product of its (nonzero) digits is 102060, while the sum is 44.

The square root of 106197965 is about 10305.2396866837. The cubic root of 106197965 is about 473.5567865905.

The spelling of 106197965 in words is "one hundred six million, one hundred ninety-seven thousand, nine hundred sixty-five".