106965504 has 120 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 35186688.

The previous prime is 106965499. The next prime is 106965517. The reversal of 106965504 is 405569601.

106965504 is a `hidden beast` number, since 10 + 6 + 96 + 550 + 4 = 666.

It is a super-2 number, since 2×106965504² = 22883238091948032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 640429 + ... + 640595.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 2^106965504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106965504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

106965504 is an abundant number, since it is smaller than the sum of its proper divisors (205826976).

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

106965504 is a wasteful number, since it uses less digits than its factorization.

106965504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106965504 is about 10342.4128712791. The cubic root of 106965504 is about 474.6949161882.

The spelling of 106965504 in words is "one hundred six million, nine hundred sixty-five thousand, five hundred four".