106965720 has 96 divisors (see below), whose sum is σ = 356166720. Its totient is φ = 27824640.

The previous prime is 106965697. The next prime is 106965739. The reversal of 106965720 is 27569601.

It is a super-2 number, since 2×106965720² = 22883330510236800, which contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11137 + ... + 18383.

It is an arithmetic number, because the mean of its divisors is an integer number (3710070).

Almost surely, 2^106965720 is an apocalyptic number.

106965720 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 106965720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178083360).

106965720 is an abundant number, since it is smaller than the sum of its proper divisors (249201000).

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

106965720 is a wasteful number, since it uses less digits than its factorization.

106965720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106965720 is about 10342.4233137113. The cubic root of 106965720 is about 474.6952357119.

The spelling of 106965720 in words is "one hundred six million, nine hundred sixty-five thousand, seven hundred twenty".