106769520 has 480 divisors, whose sum is σ = 453345984. Its totient is φ = 22118400.

The previous prime is 106769489. The next prime is 106769521. The reversal of 106769520 is 25967601.

106769520 is a `hidden beast` number, since 10 + 67 + 69 + 520 = 666.

It is a super-2 number, since 2×106769520² = 22799460802060800, 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 not an unprimeable number, because it can be changed into a prime (106769521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1750290 + ... + 1750350.

Almost surely, 2^106769520 is an apocalyptic number.

106769520 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 106769520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226672992).

106769520 is an abundant number, since it is smaller than the sum of its proper divisors (346576464).

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

106769520 is a wasteful number, since it uses less digits than its factorization.

106769520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

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

The square root of 106769520 is about 10332.9337557153. The cubic root of 106769520 is about 474.4048242691.

The spelling of 106769520 in words is "one hundred six million, seven hundred sixty-nine thousand, five hundred twenty".