106965000 has 120 divisors (see below), whose sum is σ = 362157510. Its totient is φ = 28512000.

The previous prime is 106964999. The next prime is 106965017. The reversal of 106965000 is 569601.

106965000 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 650 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 338724 + 106626276 = 582^2 + 10326^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106965000² = 22883022450000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 43812 + ... + 46188.

Almost surely, 2^106965000 is an apocalyptic number.

106965000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181078755).

106965000 is an abundant number, since it is smaller than the sum of its proper divisors (255192510).

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

106965000 is a wasteful number, since it uses less digits than its factorization.

106965000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 106965000 is about 10342.3885055629. The cubic root of 106965000 is about 474.6941706313.

The spelling of 106965000 in words is "one hundred six million, nine hundred sixty-five thousand".